257374131504 has 120 divisors (see below), whose sum is σ = 773765766000. Its totient is φ = 73504069632.

The previous prime is 257374131503. The next prime is 257374131527. The reversal of 257374131504 is 405131473752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (257374131503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5794372 + ... + 5838620.

It is an arithmetic number, because the mean of its divisors is an integer number (6448048050).

Almost surely, 2^257374131504 is an apocalyptic number.

257374131504 is a gapful number since it is divisible by the number (24) 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 257374131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386882883000).

257374131504 is an abundant number, since it is smaller than the sum of its proper divisors (516391634496).

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

257374131504 is a wasteful number, since it uses less digits than its factorization.

257374131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46747 (or 46734 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 257374131504 in words is "two hundred fifty-seven billion, three hundred seventy-four million, one hundred thirty-one thousand, five hundred four".