18825017205120 has 512 divisors, whose sum is σ = 72295229030400. Its totient is φ = 4075457863680.

The previous prime is 18825017205107. The next prime is 18825017205143. The reversal of 18825017205120 is 2150271052881.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19101411 + ... + 20062749.

It is an arithmetic number, because the mean of its divisors is an integer number (141201619200).

Almost surely, 2^{18825017205120} is an apocalyptic number.

18825017205120 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 18825017205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36147614515200).

18825017205120 is an abundant number, since it is smaller than the sum of its proper divisors (53470211825280).

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

18825017205120 is a wasteful number, since it uses less digits than its factorization.

18825017205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961446 (or 961434 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The spelling of 18825017205120 in words is "eighteen trillion, eight hundred twenty-five billion, seventeen million, two hundred five thousand, one hundred twenty".