257625982080 has 640 divisors, whose sum is σ = 938386944000. Its totient is φ = 67345883136.

The previous prime is 257625982049. The next prime is 257625982091. The reversal of 257625982080 is 80289526752.

It is a happy number.

257625982080 is a `hidden beast` number, since 2 + 5 + 7 + 625 + 9 + 8 + 2 + 0 + 8 + 0 = 666.

257625982080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×257625982080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 717620941 + ... + 717621299.

It is an arithmetic number, because the mean of its divisors is an integer number (1466229600).

Almost surely, 2^257625982080 is an apocalyptic number.

257625982080 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 257625982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469193472000).

257625982080 is an abundant number, since it is smaller than the sum of its proper divisors (680760961920).

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

257625982080 is a wasteful number, since it uses less digits than its factorization.

257625982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 257625982080 in words is "two hundred fifty-seven billion, six hundred twenty-five million, nine hundred eighty-two thousand, eighty".