257974850911680 has 896 divisors, whose sum is σ = 1056386744524800. Its totient is φ = 58046159388672.

The previous prime is 257974850911669. The next prime is 257974850911681. The reversal of 257974850911680 is 86119058479752.

It is a happy number.

257974850911680 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 7 + 48 + 509 + 11 + 68 + 0 = 666.

257974850911680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 257974850911599 and 257974850911608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257974850911681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1610078932 + ... + 1610239148.

Almost surely, 2^{257974850911680} is an apocalyptic number.

257974850911680 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 257974850911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528193372262400).

257974850911680 is an abundant number, since it is smaller than the sum of its proper divisors (798411893613120).

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

257974850911680 is a wasteful number, since it uses less digits than its factorization.

257974850911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160666 (or 160650 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 257974850911680 in words is "two hundred fifty-seven trillion, nine hundred seventy-four billion, eight hundred fifty million, nine hundred eleven thousand, six hundred eighty".