256135370400 has 1152 divisors, whose sum is σ = 1146526617600. Its totient is φ = 53739417600.

The previous prime is 256135370399. The next prime is 256135370431. The reversal of 256135370400 is 4073531652.

256135370400 is a `hidden beast` number, since 2 + 5 + 613 + 5 + 37 + 0 + 4 + 0 + 0 = 666.

256135370400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 611301391 + ... + 611301809.

It is an arithmetic number, because the mean of its divisors is an integer number (995248800).

Almost surely, 2^256135370400 is an apocalyptic number.

256135370400 is a gapful number since it is divisible by the number (20) 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 256135370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573263308800).

256135370400 is an abundant number, since it is smaller than the sum of its proper divisors (890391247200).

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

256135370400 is a wasteful number, since it uses less digits than its factorization.

256135370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 256135370400 in words is "two hundred fifty-six billion, one hundred thirty-five million, three hundred seventy thousand, four hundred".