18827182080 has 672 divisors, whose sum is σ = 80530598400. Its totient is φ = 4076863488.

The previous prime is 18827182063. The next prime is 18827182091. The reversal of 18827182080 is 8028172881.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990904311 + ... + 990904329.

It is an arithmetic number, because the mean of its divisors is an integer number (119837200).

Almost surely, 2^18827182080 is an apocalyptic number.

18827182080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18827182080 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18827182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40265299200).

18827182080 is an abundant number, since it is smaller than the sum of its proper divisors (61703416320).

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

18827182080 is an frugal number, since it uses more digits than its factorization.

18827182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 18827182080 in words is "eighteen billion, eight hundred twenty-seven million, one hundred eighty-two thousand, eighty".