992189520000 has 1280 divisors, whose sum is σ = 4215330662400. Its totient is φ = 224985600000.

The previous prime is 992189519977. The next prime is 992189520013. The reversal of 992189520000 is 25981299.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3190319845 + ... + 3190320155.

It is an arithmetic number, because the mean of its divisors is an integer number (3293227080).

Almost surely, 2^992189520000 is an apocalyptic number.

992189520000 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 992189520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107665331200).

992189520000 is an abundant number, since it is smaller than the sum of its proper divisors (3223141142400).

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

992189520000 is a wasteful number, since it uses less digits than its factorization.

992189520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 992189520000 in words is "nine hundred ninety-two billion, one hundred eighty-nine million, five hundred twenty thousand".