257955870720 has 384 divisors, whose sum is σ = 888992133120. Its totient is φ = 63669534720.

The previous prime is 257955870701. The next prime is 257955870779. The reversal of 257955870720 is 27078559752.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21897472 + ... + 21909248.

It is an arithmetic number, because the mean of its divisors is an integer number (2315083680).

Almost surely, 2^257955870720 is an apocalyptic number.

257955870720 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 257955870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444496066560).

257955870720 is an abundant number, since it is smaller than the sum of its proper divisors (631036262400).

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

257955870720 is a wasteful number, since it uses less digits than its factorization.

257955870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 57.

The spelling of 257955870720 in words is "two hundred fifty-seven billion, nine hundred fifty-five million, eight hundred seventy thousand, seven hundred twenty".