992904837120 has 576 divisors, whose sum is σ = 3943062789120. Its totient is φ = 226359705600.

The previous prime is 992904837073. The next prime is 992904837161. The reversal of 992904837120 is 21738409299.

992904837120 is a `hidden beast` number, since 9 + 9 + 2 + 90 + 483 + 71 + 2 + 0 = 666.

992904837120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278044935 + ... + 278048505.

It is an arithmetic number, because the mean of its divisors is an integer number (6845595120).

Almost surely, 2^992904837120 is an apocalyptic number.

992904837120 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 992904837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971531394560).

992904837120 is an abundant number, since it is smaller than the sum of its proper divisors (2950157952000).

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

992904837120 is a wasteful number, since it uses less digits than its factorization.

992904837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 992904837120 in words is "nine hundred ninety-two billion, nine hundred four million, eight hundred thirty-seven thousand, one hundred twenty".