257695092480 has 648 divisors, whose sum is σ = 974454736752. Its totient is φ = 57868812288.

The previous prime is 257695092463. The next prime is 257695092491. The reversal of 257695092480 is 84290596752.

It is a self number, because there is not a number n which added to its sum of digits gives 257695092480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1002704512 + ... + 1002704768.

It is an arithmetic number, because the mean of its divisors is an integer number (1503788174).

Almost surely, 2^257695092480 is an apocalyptic number.

257695092480 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 257695092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487227368376).

257695092480 is an abundant number, since it is smaller than the sum of its proper divisors (716759644272).

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

257695092480 is an equidigital number, since it uses as much as digits as its factorization.

257695092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 257695092480 in words is "two hundred fifty-seven billion, six hundred ninety-five million, ninety-two thousand, four hundred eighty".