257929336414640 has 80 divisors (see below), whose sum is σ = 654225506173440. Its totient is φ = 93789200444160.

The previous prime is 257929336414639. The next prime is 257929336414661. The reversal of 257929336414640 is 46414633929752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20072441 + ... + 30311079.

It is an arithmetic number, because the mean of its divisors is an integer number (8177818827168).

Almost surely, 2^{257929336414640} is an apocalyptic number.

257929336414640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257929336414640 is an abundant number, since it is smaller than the sum of its proper divisors (396296169758800).

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

257929336414640 is a wasteful number, since it uses less digits than its factorization.

257929336414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267290 (or 10267284 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 65.

The spelling of 257929336414640 in words is "two hundred fifty-seven trillion, nine hundred twenty-nine billion, three hundred thirty-six million, four hundred fourteen thousand, six hundred forty".