13470874560 has 448 divisors, whose sum is σ = 55835458560. Its totient is φ = 3014184960.

The previous prime is 13470874559. The next prime is 13470874561. The reversal of 13470874560 is 6547807431.

13470874560 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 0 + 87 + 4 + 560 = 666.

13470874560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13470874559) and next prime (13470874561).

It is a super-3 number, since 3×13470874560³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13470874561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230069 + ... + 1240971.

It is an arithmetic number, because the mean of its divisors is an integer number (124632720).

Almost surely, 2^13470874560 is an apocalyptic number.

13470874560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13470874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27917729280).

13470874560 is an abundant number, since it is smaller than the sum of its proper divisors (42364584000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13470874560 is a wasteful number, since it uses less digits than its factorization.

13470874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10937 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13470874560 in words is "thirteen billion, four hundred seventy million, eight hundred seventy-four thousand, five hundred sixty".