256025099014272 has 768 divisors, whose sum is σ = 915900741100800. Its totient is φ = 66965158232064.

The previous prime is 256025099014259. The next prime is 256025099014351. The reversal of 256025099014272 is 272410990520652.

256025099014272 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 2 + 509 + 90 + 1 + 42 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22008512968 + ... + 22008524600.

It is an arithmetic number, because the mean of its divisors is an integer number (1192579089975).

Almost surely, 2^{256025099014272} 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 256025099014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457950370550400).

256025099014272 is an abundant number, since it is smaller than the sum of its proper divisors (659875642086528).

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

256025099014272 is a wasteful number, since it uses less digits than its factorization.

256025099014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16053 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 256025099014272 in words is "two hundred fifty-six trillion, twenty-five billion, ninety-nine million, fourteen thousand, two hundred seventy-two".