257972607942 has 32 divisors (see below), whose sum is σ = 589724086272. Its totient is φ = 73697408064.

The previous prime is 257972607911. The next prime is 257972607943. The reversal of 257972607942 is 249706279752.

257972607942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257972607943) 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 15 ways as a sum of consecutive naturals, for example, 27238 + ... + 718809.

It is an arithmetic number, because the mean of its divisors is an integer number (18428877696).

Almost surely, 2^257972607942 is an apocalyptic number.

257972607942 is an abundant number, since it is smaller than the sum of its proper divisors (331751478330).

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

257972607942 is a wasteful number, since it uses less digits than its factorization.

257972607942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754292.

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 257972607942 in words is "two hundred fifty-seven billion, nine hundred seventy-two million, six hundred seven thousand, nine hundred forty-two".