18107997102720 has 3072 divisors, whose sum is σ = 82408175539200. Its totient is φ = 3730754764800.

The previous prime is 18107997102719. The next prime is 18107997102739. The reversal of 18107997102720 is 2720179970181.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35999993989 + ... + 35999994491.

It is an arithmetic number, because the mean of its divisors is an integer number (26825577975).

Almost surely, 2^{18107997102720} is an apocalyptic number.

18107997102720 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 18107997102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41204087769600).

18107997102720 is an abundant number, since it is smaller than the sum of its proper divisors (64300178436480).

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

18107997102720 is a wasteful number, since it uses less digits than its factorization.

18107997102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 18107997102720 in words is "eighteen trillion, one hundred seven billion, nine hundred ninety-seven million, one hundred two thousand, seven hundred twenty".