256984867509552 has 4320 divisors, whose sum is σ = 1030344659435520. Its totient is φ = 59316109332480.

The previous prime is 256984867509523. The next prime is 256984867509569. The reversal of 256984867509552 is 255905768489652.

256984867509552 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 8 + 4 + 8 + 6 + 7 + 50 + 9 + 552 = 666.

It is a super-2 number, since 2×256984867509552² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2023502893713 + ... + 2023502893839.

Almost surely, 2^{256984867509552} 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 256984867509552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515172329717760).

256984867509552 is an abundant number, since it is smaller than the sum of its proper divisors (773359791925968).

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

256984867509552 is a wasteful number, since it uses less digits than its factorization.

256984867509552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 13063680000, while the sum is 81.

The spelling of 256984867509552 in words is "two hundred fifty-six trillion, nine hundred eighty-four billion, eight hundred sixty-seven million, five hundred nine thousand, five hundred fifty-two".