257465628800 has 48 divisors (see below), whose sum is σ = 636020569050. Its totient is φ = 102986250240.

The previous prime is 257465628781. The next prime is 257465628883. The reversal of 257465628800 is 8826564752.

It can be written as a sum of positive squares in 3 ways, for example, as 127975045696 + 129490583104 = 357736^2 + 359848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40225805 + ... + 40232204.

Almost surely, 2^257465628800 is an apocalyptic number.

257465628800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257465628800 is an abundant number, since it is smaller than the sum of its proper divisors (378554940250).

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

257465628800 is an equidigital number, since it uses as much as digits as its factorization.

257465628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80458033 (or 80458016 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 257465628800 in words is "two hundred fifty-seven billion, four hundred sixty-five million, six hundred twenty-eight thousand, eight hundred".