18990192960 has 448 divisors, whose sum is σ = 72969120000. Its totient is φ = 4630929408.

The previous prime is 18990192937. The next prime is 18990192961. The reversal of 18990192960 is 6929109981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18990192897 and 18990192906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18990192961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4758646 + ... + 4762634.

It is an arithmetic number, because the mean of its divisors is an integer number (162877500).

Almost surely, 2^18990192960 is an apocalyptic number.

18990192960 is a gapful number since it is divisible by the number (10) 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 18990192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484560000).

18990192960 is an abundant number, since it is smaller than the sum of its proper divisors (53978927040).

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

18990192960 is a wasteful number, since it uses less digits than its factorization.

18990192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 18990192960 in words is "eighteen billion, nine hundred ninety million, one hundred ninety-two thousand, nine hundred sixty".