13574478720 has 512 divisors, whose sum is σ = 49080245760. Its totient is φ = 3162931200.

The previous prime is 13574478719. The next prime is 13574478811. The reversal of 13574478720 is 2787447531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13574478720.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 74997030 + ... + 74997210.

It is an arithmetic number, because the mean of its divisors is an integer number (95859855).

Almost surely, 2^13574478720 is an apocalyptic number.

13574478720 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 13574478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540122880).

13574478720 is an abundant number, since it is smaller than the sum of its proper divisors (35505767040).

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

13574478720 is a wasteful number, since it uses less digits than its factorization.

13574478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

It can be divided in two parts, 13574 and 478720, that added together give a palindrome (492294).

The spelling of 13574478720 in words is "thirteen billion, five hundred seventy-four million, four hundred seventy-eight thousand, seven hundred twenty".