256612157575074 has 128 divisors (see below), whose sum is σ = 660936734208000. Its totient is φ = 72280274330880.

The previous prime is 256612157575069. The next prime is 256612157575091. The reversal of 256612157575074 is 470575751216652.

256612157575074 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 1 + 2 + 1 + 57 + 575 + 0 + 7 + 4 = 666.

It is a super-2 number, since 2×256612157575074² (a number of 30 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 410282074 + ... + 410907050.

It is an arithmetic number, because the mean of its divisors is an integer number (5163568236000).

Almost surely, 2^{256612157575074} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256612157575074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330468367104000).

256612157575074 is an abundant number, since it is smaller than the sum of its proper divisors (404324576632926).

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

256612157575074 is a wasteful number, since it uses less digits than its factorization.

256612157575074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640365 (or 640359 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 63.

The spelling of 256612157575074 in words is "two hundred fifty-six trillion, six hundred twelve billion, one hundred fifty-seven million, five hundred seventy-five thousand, seventy-four".