257224988160 has 240 divisors, whose sum is σ = 1018106328096. Its totient is φ = 58794246144.

The previous prime is 257224988143. The next prime is 257224988171. The reversal of 257224988160 is 61889422752.

257224988160 is a `hidden beast` number, since 2 + 5 + 72 + 2 + 498 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 257224988097 and 257224988106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636169 + ... + 958728.

Almost surely, 2^257224988160 is an apocalyptic number.

257224988160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257224988160 is an abundant number, since it is smaller than the sum of its proper divisors (760881339936).

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

257224988160 is a wasteful number, since it uses less digits than its factorization.

257224988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594933 (or 1594914 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 257224988160 in words is "two hundred fifty-seven billion, two hundred twenty-four million, nine hundred eighty-eight thousand, one hundred sixty".