13256879400 has 288 divisors, whose sum is σ = 45961344000. Its totient is φ = 3422615040.

The previous prime is 13256879399. The next prime is 13256879477. The reversal of 13256879400 is 497865231.

13256879400 is a `hidden beast` number, since 13 + 2 + 568 + 79 + 4 + 0 + 0 = 666.

13256879400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13256879400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7535721 + ... + 7537479.

It is an arithmetic number, because the mean of its divisors is an integer number (159588000).

It is a 1-persistent number, because it is pandigital, but 2⋅13256879400 = 26513758800 is not.

Almost surely, 2^13256879400 is an apocalyptic number.

13256879400 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 13256879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672000).

13256879400 is an abundant number, since it is smaller than the sum of its proper divisors (32704464600).

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

13256879400 is a wasteful number, since it uses less digits than its factorization.

13256879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13256879400 in words is "thirteen billion, two hundred fifty-six million, eight hundred seventy-nine thousand, four hundred".