257625964512 has 72 divisors (see below), whose sum is σ = 837284391216. Its totient is φ = 73607417856.

The previous prime is 257625964459. The next prime is 257625964523. The reversal of 257625964512 is 215469526752.

257625964512 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 2 + 596 + 45 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×257625964512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63893313 + ... + 63897344.

It is an arithmetic number, because the mean of its divisors is an integer number (11628949878).

Almost surely, 2^257625964512 is an apocalyptic number.

It is an amenable number.

257625964512 is an abundant number, since it is smaller than the sum of its proper divisors (579658426704).

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

257625964512 is a wasteful number, since it uses less digits than its factorization.

257625964512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127790680 (or 127790669 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 257625964512 in words is "two hundred fifty-seven billion, six hundred twenty-five million, nine hundred sixty-four thousand, five hundred twelve".