18793082880 has 1248 divisors, whose sum is σ = 82433175552. Its totient is φ = 3892838400.

The previous prime is 18793082879. The next prime is 18793082899. The reversal of 18793082880 is 8828039781.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606228465 + ... + 606228495.

It is an arithmetic number, because the mean of its divisors is an integer number (66052224).

Almost surely, 2^18793082880 is an apocalyptic number.

18793082880 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 18793082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41216587776).

18793082880 is an abundant number, since it is smaller than the sum of its proper divisors (63640092672).

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

18793082880 is a wasteful number, since it uses less digits than its factorization.

18793082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 18793082880 in words is "eighteen billion, seven hundred ninety-three million, eighty-two thousand, eight hundred eighty".