256052260512 has 96 divisors (see below), whose sum is σ = 748253842560. Its totient is φ = 85186782720.

The previous prime is 256052260507. The next prime is 256052260553. The reversal of 256052260512 is 215062250652.

256052260512 is a `hidden beast` number, since 2 + 5 + 60 + 5 + 22 + 60 + 512 = 666.

256052260512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×256052260512² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165733 + ... + 734555.

It is an arithmetic number, because the mean of its divisors is an integer number (7794310860).

Almost surely, 2^256052260512 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 256052260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374126921280).

256052260512 is an abundant number, since it is smaller than the sum of its proper divisors (492201582048).

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

256052260512 is a wasteful number, since it uses less digits than its factorization.

256052260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569363 (or 569349 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 256052260512 in words is "two hundred fifty-six billion, fifty-two million, two hundred sixty thousand, five hundred twelve".