13470610560 has 384 divisors, whose sum is σ = 49267370880. Its totient is φ = 3122380800.

The previous prime is 13470610553. The next prime is 13470610561. The reversal of 13470610560 is 6501607431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13470610560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13470610561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5342100 + ... + 5344620.

It is an arithmetic number, because the mean of its divisors is an integer number (128300445).

Almost surely, 2^13470610560 is an apocalyptic number.

13470610560 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 13470610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24633685440).

13470610560 is an abundant number, since it is smaller than the sum of its proper divisors (35796760320).

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

13470610560 is a wasteful number, since it uses less digits than its factorization.

13470610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 13470610560 in words is "thirteen billion, four hundred seventy million, six hundred ten thousand, five hundred sixty".