256204126360800 has 864 divisors, whose sum is σ = 1010515766289120. Its totient is φ = 60700940697600.

The previous prime is 256204126360769. The next prime is 256204126360807. The reversal of 256204126360800 is 8063621402652.

256204126360800 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 0 + 4 + 1 + 2 + 636 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256204126360807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 653297574 + ... + 653689626.

It is an arithmetic number, because the mean of its divisors is an integer number (1169578433205).

Almost surely, 2^{256204126360800} is an apocalyptic number.

256204126360800 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 256204126360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505257883144560).

256204126360800 is an abundant number, since it is smaller than the sum of its proper divisors (754311639928320).

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

256204126360800 is a wasteful number, since it uses less digits than its factorization.

256204126360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392396 (or 392380 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 256204126360800 in words is "two hundred fifty-six trillion, two hundred four billion, one hundred twenty-six million, three hundred sixty thousand, eight hundred".