256799528064 has 640 divisors, whose sum is σ = 855496097280. Its totient is φ = 76082872320.

The previous prime is 256799528009. The next prime is 256799528093. The reversal of 256799528064 is 460825997652.

256799528064 is a `hidden beast` number, since 2 + 567 + 9 + 9 + 5 + 2 + 8 + 0 + 64 = 666.

It is a super-2 number, since 2×256799528064² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256799527992 and 256799528010.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234948702 + ... + 234949794.

It is an arithmetic number, because the mean of its divisors is an integer number (1336712652).

Almost surely, 2^256799528064 is an apocalyptic number.

256799528064 is a gapful number since it is divisible by the number (24) 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 256799528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427748048640).

256799528064 is an abundant number, since it is smaller than the sum of its proper divisors (598696569216).

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

256799528064 is a wasteful number, since it uses less digits than its factorization.

256799528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 256799528064 in words is "two hundred fifty-six billion, seven hundred ninety-nine million, five hundred twenty-eight thousand, sixty-four".