257225248800 has 216 divisors, whose sum is σ = 976813237764. Its totient is φ = 63316961280.

The previous prime is 257225248799. The next prime is 257225248811. The reversal of 257225248800 is 8842522752.

257225248800 is a `hidden beast` number, since 25 + 7 + 22 + 524 + 8 + 80 + 0 = 666.

257225248800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 45363888144 + 211861360656 = 212988^2 + 460284^2 .

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 35 ways as a sum of consecutive naturals, for example, 1280467 + ... + 1467666.

Almost surely, 2^257225248800 is an apocalyptic number.

257225248800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257225248800 is an abundant number, since it is smaller than the sum of its proper divisors (719587988964).

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

257225248800 is a wasteful number, since it uses less digits than its factorization.

257225248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748172 (or 2748156 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 257225248800 in words is "two hundred fifty-seven billion, two hundred twenty-five million, two hundred forty-eight thousand, eight hundred".