257537128575264 has 24 divisors (see below), whose sum is σ = 676034962510320. Its totient is φ = 85845709525056.

The previous prime is 257537128575257. The next prime is 257537128575323. The reversal of 257537128575264 is 462575821735752.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×257537128575264² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1341339211234 + ... + 1341339211425.

It is an arithmetic number, because the mean of its divisors is an integer number (28168123437930).

Almost surely, 2^{257537128575264} is an apocalyptic number.

257537128575264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257537128575264 is an abundant number, since it is smaller than the sum of its proper divisors (418497833935056).

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

257537128575264 is a wasteful number, since it uses less digits than its factorization.

257537128575264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682678422672 (or 2682678422664 counting only the distinct ones).

The product of its digits is 987840000, while the sum is 69.

The spelling of 257537128575264 in words is "two hundred fifty-seven trillion, five hundred thirty-seven billion, one hundred twenty-eight million, five hundred seventy-five thousand, two hundred sixty-four".