256621536261270 has 256 divisors, whose sum is σ = 735713238528000. Its totient is φ = 63447387734016.

The previous prime is 256621536261227. The next prime is 256621536261281. The reversal of 256621536261270 is 72162635126652.

256621536261270 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 2 + 1 + 5 + 3 + 626 + 1 + 2 + 7 + 0 = 666.

256621536261270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256621536261270² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6705008854 + ... + 6705047126.

It is an arithmetic number, because the mean of its divisors is an integer number (2873879838000).

Almost surely, 2^{256621536261270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256621536261270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367856619264000).

256621536261270 is an abundant number, since it is smaller than the sum of its proper divisors (479091702266730).

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

256621536261270 is a wasteful number, since it uses less digits than its factorization.

256621536261270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66164 (or 66158 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 256621536261270 in words is "two hundred fifty-six trillion, six hundred twenty-one billion, five hundred thirty-six million, two hundred sixty-one thousand, two hundred seventy".