257715848880 has 960 divisors, whose sum is σ = 1073702707200. Its totient is φ = 56757335040.

The previous prime is 257715848879. The next prime is 257715848947. The reversal of 257715848880 is 88848517752.

257715848880 is a `hidden beast` number, since 2 + 5 + 7 + 71 + 5 + 8 + 488 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1125396606 + ... + 1125396834.

It is an arithmetic number, because the mean of its divisors is an integer number (1118440320).

Almost surely, 2^257715848880 is an apocalyptic number.

257715848880 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 257715848880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536851353600).

257715848880 is an abundant number, since it is smaller than the sum of its proper divisors (815986858320).

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

257715848880 is an equidigital number, since it uses as much as digits as its factorization.

257715848880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 40140800, while the sum is 63.

The spelling of 257715848880 in words is "two hundred fifty-seven billion, seven hundred fifteen million, eight hundred forty-eight thousand, eight hundred eighty".