257713948404 has 168 divisors, whose sum is σ = 763100946720. Its totient is φ = 75401928000.

The previous prime is 257713948397. The next prime is 257713948421. The reversal of 257713948404 is 404849317752.

257713948404 is a `hidden beast` number, since 25 + 7 + 7 + 139 + 484 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 791679 + ... + 1068729.

It is an arithmetic number, because the mean of its divisors is an integer number (4542267540).

Almost surely, 2^257713948404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257713948404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381550473360).

257713948404 is an abundant number, since it is smaller than the sum of its proper divisors (505386998316).

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

257713948404 is a wasteful number, since it uses less digits than its factorization.

257713948404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277113 (or 277096 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 257713948404 in words is "two hundred fifty-seven billion, seven hundred thirteen million, nine hundred forty-eight thousand, four hundred four".