397257096055680 has 1280 divisors, whose sum is σ = 1663366213555200. Its totient is φ = 88478265212928.

The previous prime is 397257096055627. The next prime is 397257096055691. The reversal of 397257096055680 is 86550690752793.

397257096055680 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 5 + 7 + 0 + 9 + 60 + 556 + 8 + 0 = 666.

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 = 397257096055599 and 397257096055608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2198599581 + ... + 2198780259.

It is an arithmetic number, because the mean of its divisors is an integer number (1299504854340).

Almost surely, 2^{397257096055680} is an apocalyptic number.

397257096055680 is a gapful number since it is divisible by the number (30) 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 397257096055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831683106777600).

397257096055680 is an abundant number, since it is smaller than the sum of its proper divisors (1266109117499520).

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

397257096055680 is a wasteful number, since it uses less digits than its factorization.

397257096055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180873 (or 180852 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 397257096055680 in words is "three hundred ninety-seven trillion, two hundred fifty-seven billion, ninety-six million, fifty-five thousand, six hundred eighty".