257978879752 has 16 divisors (see below), whose sum is σ = 527684072400. Its totient is φ = 117263127120.

The previous prime is 257978879699. The next prime is 257978879771.

257978879752 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1465789002 + ... + 1465789177.

It is an arithmetic number, because the mean of its divisors is an integer number (32980254525).

Almost surely, 2^257978879752 is an apocalyptic number.

257978879752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257978879752 is an abundant number, since it is smaller than the sum of its proper divisors (269705192648).

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

257978879752 is a wasteful number, since it uses less digits than its factorization.

257978879752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931578196 (or 2931578192 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 76.

The spelling of 257978879752 in words is "two hundred fifty-seven billion, nine hundred seventy-eight million, eight hundred seventy-nine thousand, seven hundred fifty-two".