992380032000 has 2816 divisors, whose sum is σ = 4708741939200. Its totient is φ = 200658124800.

The previous prime is 992380031989. The next prime is 992380032101. The reversal of 992380032000 is 230083299.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 7814015937 + ... + 7814016063.

Almost surely, 2^992380032000 is an apocalyptic number.

992380032000 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 992380032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354370969600).

992380032000 is an abundant number, since it is smaller than the sum of its proper divisors (3716361907200).

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

992380032000 is a wasteful number, since it uses less digits than its factorization.

992380032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 992380032000 in words is "nine hundred ninety-two billion, three hundred eighty million, thirty-two thousand".