18798583345920 has 1728 divisors, whose sum is σ = 79040518502400. Its totient is φ = 4119529881600.

The previous prime is 18798583345897. The next prime is 18798583345937. The reversal of 18798583345920 is 2954338589781.

18798583345920 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 8 + 583 + 34 + 5 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10380221815 + ... + 10380223625.

It is an arithmetic number, because the mean of its divisors is an integer number (45741040800).

Almost surely, 2^{18798583345920} is an apocalyptic number.

18798583345920 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 18798583345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39520259251200).

18798583345920 is an abundant number, since it is smaller than the sum of its proper divisors (60241935156480).

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

18798583345920 is a wasteful number, since it uses less digits than its factorization.

18798583345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 18798583345920 in words is "eighteen trillion, seven hundred ninety-eight billion, five hundred eighty-three million, three hundred forty-five thousand, nine hundred twenty".