990192107520 has 3072 divisors, whose sum is σ = 4946518886400. Its totient is φ = 183458856960.

The previous prime is 990192107491. The next prime is 990192107551. The reversal of 990192107520 is 25701291099.

990192107520 is a `hidden beast` number, since 9 + 9 + 0 + 19 + 2 + 107 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52115374071 + ... + 52115374089.

It is an arithmetic number, because the mean of its divisors is an integer number (1610194950).

Almost surely, 2^990192107520 is an apocalyptic number.

990192107520 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 990192107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473259443200).

990192107520 is an abundant number, since it is smaller than the sum of its proper divisors (3956326778880).

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

990192107520 is a wasteful number, since it uses less digits than its factorization.

990192107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 990192107520 in words is "nine hundred ninety billion, one hundred ninety-two million, one hundred seven thousand, five hundred twenty".