257630768332800 has 1728 divisors, whose sum is σ = 952304567606784. Its totient is φ = 61122753331200.

The previous prime is 257630768332793. The next prime is 257630768332963. The reversal of 257630768332800 is 8233867036752.

It is a super-2 number, since 2×257630768332800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 372837580455 + ... + 372837581145.

It is an arithmetic number, because the mean of its divisors is an integer number (551102180328).

Almost surely, 2^{257630768332800} is an apocalyptic number.

257630768332800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257630768332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476152283803392).

257630768332800 is an abundant number, since it is smaller than the sum of its proper divisors (694673799273984).

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

257630768332800 is an equidigital number, since it uses as much as digits as its factorization.

257630768332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 257630768332800 in words is "two hundred fifty-seven trillion, six hundred thirty billion, seven hundred sixty-eight million, three hundred thirty-two thousand, eight hundred".