256980756753 has 24 divisors (see below), whose sum is σ = 446549688000. Its totient is φ = 139117401504.

The previous prime is 256980756743. The next prime is 256980756779. The reversal of 256980756753 is 357657089652.

256980756753 is a `hidden beast` number, since 2 + 5 + 69 + 8 + 0 + 7 + 567 + 5 + 3 = 666.

It is not a de Polignac number, because 256980756753 - 2¹³ = 256980748561 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 (256980756733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107342478 + ... + 107344871.

It is an arithmetic number, because the mean of its divisors is an integer number (18606237000).

Almost surely, 2^256980756753 is an apocalyptic number.

It is an amenable number.

256980756753 is a deficient number, since it is larger than the sum of its proper divisors (189568931247).

256980756753 is a wasteful number, since it uses less digits than its factorization.

256980756753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214687381 (or 214687378 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 256980756753 in words is "two hundred fifty-six billion, nine hundred eighty million, seven hundred fifty-six thousand, seven hundred fifty-three".