18835907830080 has 896 divisors, whose sum is σ = 71375644717056. Its totient is φ = 4157050060800.

The previous prime is 18835907829997. The next prime is 18835907830121. The reversal of 18835907830080 is 8003870953881.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 18835907829996 and 18835907830023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 675519819 + ... + 675547701.

Almost surely, 2^{18835907830080} is an apocalyptic number.

18835907830080 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 18835907830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35687822358528).

18835907830080 is an abundant number, since it is smaller than the sum of its proper divisors (52539736886976).

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

18835907830080 is a wasteful number, since it uses less digits than its factorization.

18835907830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28055 (or 28045 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 18835907830080 in words is "eighteen trillion, eight hundred thirty-five billion, nine hundred seven million, eight hundred thirty thousand, eighty".