94987468800 has 900 divisors, whose sum is σ = 403141575760. Its totient is φ = 21658337280.

The previous prime is 94987468789. The next prime is 94987468813. The reversal of 94987468800 is 886478949.

94987468800 is a `hidden beast` number, since 9 + 4 + 98 + 7 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232242996 + ... + 232243404.

Almost surely, 2^94987468800 is an apocalyptic number.

94987468800 is a gapful number since it is divisible by the number (90) 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 94987468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201570787880).

94987468800 is an abundant number, since it is smaller than the sum of its proper divisors (308154106960).

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

94987468800 is an equidigital number, since it uses as much as digits as its factorization.

94987468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 94987468800 in words is "ninety-four billion, nine hundred eighty-seven million, four hundred sixty-eight thousand, eight hundred".