257795113104 has 80 divisors (see below), whose sum is σ = 744398605440. Its totient is φ = 85417119360.

The previous prime is 257795113099. The next prime is 257795113141. The reversal of 257795113104 is 401311597752.

257795113104 is a `hidden beast` number, since 2 + 57 + 79 + 511 + 3 + 10 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 257795113104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714527 + ... + 1858814.

It is an arithmetic number, because the mean of its divisors is an integer number (9304982568).

Almost surely, 2^257795113104 is an apocalyptic number.

257795113104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257795113104 is an abundant number, since it is smaller than the sum of its proper divisors (486603492336).

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

257795113104 is a wasteful number, since it uses less digits than its factorization.

257795113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573525 (or 3573513 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 257795113104 in words is "two hundred fifty-seven billion, seven hundred ninety-five million, one hundred thirteen thousand, one hundred four".