18792668160 has 1056 divisors, whose sum is σ = 80471664000. Its totient is φ = 4046192640.

The previous prime is 18792668123. The next prime is 18792668161. The reversal of 18792668160 is 6186629781.

It is a junction number, because it is equal to n+sod(n) for n = 18792668097 and 18792668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18792668161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458357740 + ... + 458357780.

Almost surely, 2^18792668160 is an apocalyptic number.

18792668160 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 18792668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40235832000).

18792668160 is an abundant number, since it is smaller than the sum of its proper divisors (61678995840).

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

18792668160 is a wasteful number, since it uses less digits than its factorization.

18792668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18792668160 in words is "eighteen billion, seven hundred ninety-two million, six hundred sixty-eight thousand, one hundred sixty".