257680118812320 has 240 divisors, whose sum is σ = 909489870051840. Its totient is φ = 68707611956736.

The previous prime is 257680118812271. The next prime is 257680118812349. The reversal of 257680118812320 is 23218811086752.

It is a happy number.

257680118812320 is a `hidden beast` number, since 2 + 57 + 6 + 80 + 1 + 188 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×257680118812320² (a number of 30 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125248921 + ... + 127289639.

It is an arithmetic number, because the mean of its divisors is an integer number (3789541125216).

Almost surely, 2^{257680118812320} is an apocalyptic number.

257680118812320 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 257680118812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454744935025920).

257680118812320 is an abundant number, since it is smaller than the sum of its proper divisors (651809751239520).

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

257680118812320 is a wasteful number, since it uses less digits than its factorization.

257680118812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050489 (or 2050472 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 257680118812320 in words is "two hundred fifty-seven trillion, six hundred eighty billion, one hundred eighteen million, eight hundred twelve thousand, three hundred twenty".