398859113881800 has 384 divisors, whose sum is σ = 1614031289136000. Its totient is φ = 89255186150400.

The previous prime is 398859113881751. The next prime is 398859113881867. The reversal of 398859113881800 is 8188311958893.

398859113881800 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 59 + 11 + 388 + 180 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257489335 + ... + 259033734.

It is an arithmetic number, because the mean of its divisors is an integer number (4203206482125).

Almost surely, 2^{398859113881800} is an apocalyptic number.

398859113881800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398859113881800 is an abundant number, since it is smaller than the sum of its proper divisors (1215172175254200).

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

398859113881800 is a wasteful number, since it uses less digits than its factorization.

398859113881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516523118 (or 516523103 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 72.

The spelling of 398859113881800 in words is "three hundred ninety-eight trillion, eight hundred fifty-nine billion, one hundred thirteen million, eight hundred eighty-one thousand, eight hundred".