18824871680 has 144 divisors (see below), whose sum is σ = 47635583520. Its totient is φ = 7107969024.

The previous prime is 18824871679. The next prime is 18824871691. The reversal of 18824871680 is 8617842881.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7610924 + ... + 7613396.

Almost surely, 2^18824871680 is an apocalyptic number.

18824871680 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 18824871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23817791760).

18824871680 is an abundant number, since it is smaller than the sum of its proper divisors (28810711840).

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

18824871680 is a wasteful number, since it uses less digits than its factorization.

18824871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 53.

The spelling of 18824871680 in words is "eighteen billion, eight hundred twenty-four million, eight hundred seventy-one thousand, six hundred eighty".