13256294400 has 612 divisors, whose sum is σ = 50708748480. Its totient is φ = 3303014400.

The previous prime is 13256294393. The next prime is 13256294423. The reversal of 13256294400 is 449265231.

It is a happy number.

13256294400 is a `hidden beast` number, since 1 + 3 + 2 + 562 + 94 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427622385 + ... + 427622415.

Almost surely, 2^13256294400 is an apocalyptic number.

13256294400 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 13256294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354374240).

13256294400 is an abundant number, since it is smaller than the sum of its proper divisors (37452454080).

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

13256294400 is an equidigital number, since it uses as much as digits as its factorization.

13256294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13256294400 in words is "thirteen billion, two hundred fifty-six million, two hundred ninety-four thousand, four hundred".