257496454561320 has 192 divisors, whose sum is σ = 916512805353600. Its totient is φ = 62309441871360.

The previous prime is 257496454561301. The next prime is 257496454561349. The reversal of 257496454561320 is 23165454694752.

257496454561320 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 9 + 6 + 4 + 5 + 4 + 5 + 613 + 2 + 0 = 666.

It is a super-2 number, since 2×257496454561320² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466000236 + ... + 466552475.

It is an arithmetic number, because the mean of its divisors is an integer number (4773504194550).

Almost surely, 2^{257496454561320} is an apocalyptic number.

257496454561320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257496454561320 is an abundant number, since it is smaller than the sum of its proper divisors (659016350792280).

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

257496454561320 is a wasteful number, since it uses less digits than its factorization.

257496454561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932552800 (or 932552793 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 257496454561320 in words is "two hundred fifty-seven trillion, four hundred ninety-six billion, four hundred fifty-four million, five hundred sixty-one thousand, three hundred twenty".