398823675868800 has 7680 divisors, whose sum is σ = 1950168306240000. Its totient is φ = 79641209733120.

The previous prime is 398823675868799. The next prime is 398823675868823. The reversal of 398823675868800 is 8868576328893.

398823675868800 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 23 + 6 + 7 + 586 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 398823675868800.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2446771017519 + ... + 2446771017681.

It is an arithmetic number, because the mean of its divisors is an integer number (253928164875).

Almost surely, 2^{398823675868800} is an apocalyptic number.

398823675868800 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 398823675868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975084153120000).

398823675868800 is an abundant number, since it is smaller than the sum of its proper divisors (1551344630371200).

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

398823675868800 is a wasteful number, since it uses less digits than its factorization.

398823675868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 398823675868800 in words is "three hundred ninety-eight trillion, eight hundred twenty-three billion, six hundred seventy-five million, eight hundred sixty-eight thousand, eight hundred".