257250508416 has 256 divisors, whose sum is σ = 876992572800. Its totient is φ = 73368944640.

The previous prime is 257250508397. The next prime is 257250508451. The reversal of 257250508416 is 614805052752.

257250508416 is a `hidden beast` number, since 2 + 57 + 2 + 50 + 508 + 41 + 6 = 666.

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, 447246 + ... + 845298.

Almost surely, 2^257250508416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257250508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438496286400).

257250508416 is an abundant number, since it is smaller than the sum of its proper divisors (619742064384).

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

257250508416 is a wasteful number, since it uses less digits than its factorization.

257250508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398104 (or 398086 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 257250508416 in words is "two hundred fifty-seven billion, two hundred fifty million, five hundred eight thousand, four hundred sixteen".