256752440523747 has 96 divisors (see below), whose sum is σ = 468463060915200. Its totient is φ = 132032664023040.

The previous prime is 256752440523671. The next prime is 256752440523757. The reversal of 256752440523747 is 747325044257652.

256752440523747 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 5 + 24 + 40 + 523 + 7 + 47 = 666.

It is not a de Polignac number, because 256752440523747 - 2¹¹ = 256752440521699 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (256752440523757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64553547 + ... + 68415387.

It is an arithmetic number, because the mean of its divisors is an integer number (4879823551200).

Almost surely, 2^{256752440523747} is an apocalyptic number.

256752440523747 is a deficient number, since it is larger than the sum of its proper divisors (211710620391453).

256752440523747 is a wasteful number, since it uses less digits than its factorization.

256752440523747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864593 (or 3864590 counting only the distinct ones).

The product of its (nonzero) digits is 395136000, while the sum is 63.

The spelling of 256752440523747 in words is "two hundred fifty-six trillion, seven hundred fifty-two billion, four hundred forty million, five hundred twenty-three thousand, seven hundred forty-seven".