257239081764 has 288 divisors, whose sum is σ = 795171686400. Its totient is φ = 68445527040.

The previous prime is 257239081751. The next prime is 257239081819. The reversal of 257239081764 is 467180932752.

It is a happy number.

257239081764 is a `hidden beast` number, since 2 + 572 + 3 + 9 + 0 + 8 + 1 + 7 + 64 = 666.

257239081764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257239081764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249503929 + ... + 249504959.

It is an arithmetic number, because the mean of its divisors is an integer number (2761012800).

It is a 1-persistent number, because it is pandigital, but 2⋅257239081764 = 514478163528 is not.

Almost surely, 2^257239081764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257239081764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397585843200).

257239081764 is an abundant number, since it is smaller than the sum of its proper divisors (537932604636).

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

257239081764 is a wasteful number, since it uses less digits than its factorization.

257239081764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 257239081764 in words is "two hundred fifty-seven billion, two hundred thirty-nine million, eighty-one thousand, seven hundred sixty-four".