257232568320 has 1536 divisors, whose sum is σ = 1154187740160. Its totient is φ = 53508833280.

The previous prime is 257232568297. The next prime is 257232568331. The reversal of 257232568320 is 23865232752.

257232568320 is a `hidden beast` number, since 2 + 5 + 72 + 3 + 256 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3622993885 + ... + 3622993955.

It is an arithmetic number, because the mean of its divisors is an integer number (751424310).

Almost surely, 2^257232568320 is an apocalyptic number.

257232568320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257232568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577093870080).

257232568320 is an abundant number, since it is smaller than the sum of its proper divisors (896955171840).

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

257232568320 is an frugal number, since it uses more digits than its factorization.

257232568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 257232568320 in words is "two hundred fifty-seven billion, two hundred thirty-two million, five hundred sixty-eight thousand, three hundred twenty".