257677661360 has 80 divisors (see below), whose sum is σ = 685111156032. Its totient is φ = 88291814400.

The previous prime is 257677661359. The next prime is 257677661407. The reversal of 257677661360 is 63166776752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×257677661360³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 257677661296 and 257677661305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765830 + ... + 1049690.

Almost surely, 2^257677661360 is an apocalyptic number.

257677661360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257677661360 is an abundant number, since it is smaller than the sum of its proper divisors (427433494672).

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

257677661360 is a wasteful number, since it uses less digits than its factorization.

257677661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285502 (or 285496 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 56.

The spelling of 257677661360 in words is "two hundred fifty-seven billion, six hundred seventy-seven million, six hundred sixty-one thousand, three hundred sixty".