256036264155 has 384 divisors, whose sum is σ = 586472140800. Its totient is φ = 100552015872.

The previous prime is 256036264153. The next prime is 256036264157. The reversal of 256036264155 is 551462630652.

256036264155 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 3 + 626 + 4 + 15 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (256036264153) and next prime (256036264157).

It is not a de Polignac number, because 256036264155 - 2¹ = 256036264153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 256036264155.

It is not an unprimeable number, because it can be changed into a prime (256036264153) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 346462776 + ... + 346463514.

It is an arithmetic number, because the mean of its divisors is an integer number (1527271200).

Almost surely, 2^256036264155 is an apocalyptic number.

256036264155 is an abundant number, since it is smaller than the sum of its proper divisors (330435876645).

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

256036264155 is a wasteful number, since it uses less digits than its factorization.

256036264155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 256036264155 in words is "two hundred fifty-six billion, thirty-six million, two hundred sixty-four thousand, one hundred fifty-five".