257386052191920 has 80 divisors (see below), whose sum is σ = 811420435768320. Its totient is φ = 67472953791232.

The previous prime is 257386052191907. The next prime is 257386052191949. The reversal of 257386052191920 is 29191250683752.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 9088476384 + ... + 9088504703.

It is an arithmetic number, because the mean of its divisors is an integer number (10142755447104).

Almost surely, 2^{257386052191920} is an apocalyptic number.

257386052191920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257386052191920 is an abundant number, since it is smaller than the sum of its proper divisors (554034383576400).

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

257386052191920 is a wasteful number, since it uses less digits than its factorization.

257386052191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18176981162 (or 18176981156 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 257386052191920 in words is "two hundred fifty-seven trillion, three hundred eighty-six billion, fifty-two million, one hundred ninety-one thousand, nine hundred twenty".