397859564188800 has 768 divisors, whose sum is σ = 1699469141299200. Its totient is φ = 89004443258880.

The previous prime is 397859564188733. The next prime is 397859564188831. The reversal of 397859564188800 is 8881465958793.

397859564188800 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 595 + 6 + 4 + 18 + 8 + 8 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 397859564188800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21427339 + ... + 35423861.

It is an arithmetic number, because the mean of its divisors is an integer number (2212850444400).

Almost surely, 2^{397859564188800} is an apocalyptic number.

397859564188800 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 397859564188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849734570649600).

397859564188800 is an abundant number, since it is smaller than the sum of its proper divisors (1301609577110400).

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

397859564188800 is a wasteful number, since it uses less digits than its factorization.

397859564188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996610 (or 13996587 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 397859564188800 in words is "three hundred ninety-seven trillion, eight hundred fifty-nine billion, five hundred sixty-four million, one hundred eighty-eight thousand, eight hundred".