18819691413120 has 768 divisors, whose sum is σ = 74686661038080. Its totient is φ = 4325668945920.

The previous prime is 18819691413097. The next prime is 18819691413161. The reversal of 18819691413120 is 2131419691881.

18819691413120 is a `hidden beast` number, since 1 + 8 + 8 + 19 + 6 + 91 + 413 + 120 = 666.

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, 161607715 + ... + 161724125.

It is an arithmetic number, because the mean of its divisors is an integer number (97248256560).

Almost surely, 2^{18819691413120} is an apocalyptic number.

18819691413120 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 18819691413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37343330519040).

18819691413120 is an abundant number, since it is smaller than the sum of its proper divisors (55866969624960).

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

18819691413120 is a wasteful number, since it uses less digits than its factorization.

18819691413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116593 (or 116578 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 18819691413120 in words is "eighteen trillion, eight hundred nineteen billion, six hundred ninety-one million, four hundred thirteen thousand, one hundred twenty".