256395508088832 has 2880 divisors, whose sum is σ = 969887029731840. Its totient is φ = 67252577107968.

The previous prime is 256395508088659. The next prime is 256395508088861. The reversal of 256395508088832 is 238880805593652.

256395508088832 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 9 + 5 + 508 + 0 + 8 + 88 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2018862268353 + ... + 2018862268479.

It is an arithmetic number, because the mean of its divisors is an integer number (336766329768).

Almost surely, 2^{256395508088832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256395508088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484943514865920).

256395508088832 is an abundant number, since it is smaller than the sum of its proper divisors (713491521643008).

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

256395508088832 is an equidigital number, since it uses as much as digits as its factorization.

256395508088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 256395508088832 in words is "two hundred fifty-six trillion, three hundred ninety-five billion, five hundred eight million, eighty-eight thousand, eight hundred thirty-two".