257142856320 has 192 divisors, whose sum is σ = 1014796074240. Its totient is φ = 58775500800.

The previous prime is 257142856309. The next prime is 257142856343. The reversal of 257142856320 is 23658241752.

257142856320 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 4 + 2 + 8 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×257142856320² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3148456 + ... + 3229095.

It is an arithmetic number, because the mean of its divisors is an integer number (5285396220).

Almost surely, 2^257142856320 is an apocalyptic number.

257142856320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257142856320 is an abundant number, since it is smaller than the sum of its proper divisors (757653217920).

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

257142856320 is a wasteful number, since it uses less digits than its factorization.

257142856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377583 (or 6377568 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 257142856320 in words is "two hundred fifty-seven billion, one hundred forty-two million, eight hundred fifty-six thousand, three hundred twenty".