94992027984000 has 1536 divisors, whose sum is σ = 421236593856000. Its totient is φ = 20435079168000.

The previous prime is 94992027983989. The next prime is 94992027984053. The reversal of 94992027984000 is 48972029949.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 839607435 + ... + 839720565.

It is an arithmetic number, because the mean of its divisors is an integer number (274242574125).

Almost surely, 2^{94992027984000} is an apocalyptic number.

94992027984000 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 94992027984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210618296928000).

94992027984000 is an abundant number, since it is smaller than the sum of its proper divisors (326244565872000).

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

94992027984000 is a wasteful number, since it uses less digits than its factorization.

94992027984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113204 (or 113165 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 94992027984000 in words is "ninety-four trillion, nine hundred ninety-two billion, twenty-seven million, nine hundred eighty-four thousand".