992115371520 has 3200 divisors, whose sum is σ = 4741384032000. Its totient is φ = 196644962304.

The previous prime is 992115371503. The next prime is 992115371521. The reversal of 992115371520 is 25173511299.

992115371520 is a `hidden beast` number, since 9 + 9 + 2 + 1 + 1 + 53 + 71 + 520 = 666.

It is a super-2 number, since 2×992115371520² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992115371521) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26813928942 + ... + 26813928978.

It is an arithmetic number, because the mean of its divisors is an integer number (1481682510).

Almost surely, 2^992115371520 is an apocalyptic number.

992115371520 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 992115371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370692016000).

992115371520 is an abundant number, since it is smaller than the sum of its proper divisors (3749268660480).

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

992115371520 is a wasteful number, since it uses less digits than its factorization.

992115371520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 992115371520 in words is "nine hundred ninety-two billion, one hundred fifteen million, three hundred seventy-one thousand, five hundred twenty".