257079120000 has 320 divisors, whose sum is σ = 898236847200. Its totient is φ = 64945152000.

The previous prime is 257079119993. The next prime is 257079120029. The reversal of 257079120000 is 21970752.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4531812 + ... + 4588188.

Almost surely, 2^257079120000 is an apocalyptic number.

257079120000 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 257079120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449118423600).

257079120000 is an abundant number, since it is smaller than the sum of its proper divisors (641157727200).

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

257079120000 is an equidigital number, since it uses as much as digits as its factorization.

257079120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56433 (or 56406 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 257079120000 in words is "two hundred fifty-seven billion, seventy-nine million, one hundred twenty thousand".