257190373121120 has 48 divisors (see below), whose sum is σ = 610033022556048. Its totient is φ = 102466284096000.

The previous prime is 257190373121069. The next prime is 257190373121141. The reversal of 257190373121120 is 21121373091752.

257190373121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257190373121120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202031219 + ... + 3202111538.

It is an arithmetic number, because the mean of its divisors is an integer number (12709021303251).

Almost surely, 2^{257190373121120} is an apocalyptic number.

257190373121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257190373121120 is an abundant number, since it is smaller than the sum of its proper divisors (352842649434928).

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

257190373121120 is a wasteful number, since it uses less digits than its factorization.

257190373121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404143023 (or 6404143015 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 257190373121120 in words is "two hundred fifty-seven trillion, one hundred ninety billion, three hundred seventy-three million, one hundred twenty-one thousand, one hundred twenty".