257167394175120 has 640 divisors, whose sum is σ = 958663089635328. Its totient is φ = 56192674406400.

The previous prime is 257167394174993. The next prime is 257167394175143. The reversal of 257167394175120 is 21571493761752.

257167394175120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257167394175120² (a number of 30 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 5249253825 + ... + 5249302815.

Almost surely, 2^{257167394175120} is an apocalyptic number.

257167394175120 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 257167394175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479331544817664).

257167394175120 is an abundant number, since it is smaller than the sum of its proper divisors (701495695460208).

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

257167394175120 is a wasteful number, since it uses less digits than its factorization.

257167394175120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52631 (or 52625 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 257167394175120 in words is "two hundred fifty-seven trillion, one hundred sixty-seven billion, three hundred ninety-four million, one hundred seventy-five thousand, one hundred twenty".