257633532985920 has 224 divisors, whose sum is σ = 1006752575394048. Its totient is φ = 54357844303872.

The previous prime is 257633532985909. The next prime is 257633532985937. The reversal of 257633532985920 is 29589235336752.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1474463539 + ... + 1474638258.

It is an arithmetic number, because the mean of its divisors is an integer number (4494431140152).

Almost surely, 2^{257633532985920} is an apocalyptic number.

257633532985920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257633532985920 is an abundant number, since it is smaller than the sum of its proper divisors (749119042408128).

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

257633532985920 is a wasteful number, since it uses less digits than its factorization.

257633532985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949101837 (or 2949101827 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 69.

The spelling of 257633532985920 in words is "two hundred fifty-seven trillion, six hundred thirty-three billion, five hundred thirty-two million, nine hundred eighty-five thousand, nine hundred twenty".