257485290264 has 208 divisors, whose sum is σ = 735237533520. Its totient is φ = 84520376640.

The previous prime is 257485290253. The next prime is 257485290281. The reversal of 257485290264 is 462092584752.

257485290264 is a `hidden beast` number, since 2 + 57 + 4 + 8 + 529 + 0 + 2 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257485290264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 301858062 + ... + 301858914.

Almost surely, 2^257485290264 is an apocalyptic number.

257485290264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257485290264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367618766760).

257485290264 is an abundant number, since it is smaller than the sum of its proper divisors (477752243256).

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

257485290264 is an frugal number, since it uses more digits than its factorization.

257485290264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 257485290264 in words is "two hundred fifty-seven billion, four hundred eighty-five million, two hundred ninety thousand, two hundred sixty-four".