256874824584 has 512 divisors, whose sum is σ = 867041280000. Its totient is φ = 68914022400.

The previous prime is 256874824567. The next prime is 256874824601. The reversal of 256874824584 is 485428478652.

It is a happy number.

256874824584 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 7 + 48 + 2 + 4 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (256874824567) and next prime (256874824601).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 670691257 + ... + 670691639.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440000).

Almost surely, 2^256874824584 is an apocalyptic number.

256874824584 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 256874824584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433520640000).

256874824584 is an abundant number, since it is smaller than the sum of its proper divisors (610166455416).

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

256874824584 is a wasteful number, since it uses less digits than its factorization.

256874824584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its digits is 137625600, while the sum is 63.

The spelling of 256874824584 in words is "two hundred fifty-six billion, eight hundred seventy-four million, eight hundred twenty-four thousand, five hundred eighty-four".