257152655760 has 1920 divisors, whose sum is σ = 1154720759808. Its totient is φ = 45984153600.

The previous prime is 257152655737. The next prime is 257152655777. The reversal of 257152655760 is 67556251752.

It is a super-2 number, since 2×257152655760² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3522639084 + ... + 3522639156.

Almost surely, 2^257152655760 is an apocalyptic number.

257152655760 is a gapful number since it is divisible by the number (20) 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 257152655760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577360379904).

257152655760 is an abundant number, since it is smaller than the sum of its proper divisors (897568104048).

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

257152655760 is a wasteful number, since it uses less digits than its factorization.

257152655760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 51.

The spelling of 257152655760 in words is "two hundred fifty-seven billion, one hundred fifty-two million, six hundred fifty-five thousand, seven hundred sixty".