257010298272 has 576 divisors, whose sum is σ = 946727792640. Its totient is φ = 67230922752.

The previous prime is 257010298243. The next prime is 257010298313. The reversal of 257010298272 is 272892010752.

257010298272 is a `hidden beast` number, since 2 + 570 + 1 + 0 + 2 + 9 + 8 + 2 + 72 = 666.

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, 69894898 + ... + 69898574.

It is an arithmetic number, because the mean of its divisors is an integer number (1643624640).

Almost surely, 2^257010298272 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 257010298272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473363896320).

257010298272 is an abundant number, since it is smaller than the sum of its proper divisors (689717494368).

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

257010298272 is a wasteful number, since it uses less digits than its factorization.

257010298272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 257010298272 in words is "two hundred fifty-seven billion, ten million, two hundred ninety-eight thousand, two hundred seventy-two".