257207422624 has 48 divisors (see below), whose sum is σ = 521332634592. Its totient is φ = 124842187008.

The previous prime is 257207422603. The next prime is 257207422627. The reversal of 257207422624 is 426224702752.

257207422624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (257207422627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349099 + ... + 797674.

It is an arithmetic number, because the mean of its divisors is an integer number (10861096554).

Almost surely, 2^257207422624 is an apocalyptic number.

It is an amenable number.

257207422624 is an abundant number, since it is smaller than the sum of its proper divisors (264125211968).

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

257207422624 is a wasteful number, since it uses less digits than its factorization.

257207422624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146989 (or 1146981 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 257207422624 in words is "two hundred fifty-seven billion, two hundred seven million, four hundred twenty-two thousand, six hundred twenty-four".