18872177884560 has 7680 divisors, whose sum is σ = 101225521152000. Its totient is φ = 3160365465600.

The previous prime is 18872177884513. The next prime is 18872177884577. The reversal of 18872177884560 is 6548877127881.

18872177884560 is a `hidden beast` number, since 1 + 8 + 8 + 7 + 21 + 77 + 88 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 258522984684 + ... + 258522984756.

It is an arithmetic number, because the mean of its divisors is an integer number (13180406400).

Almost surely, 2^{18872177884560} is an apocalyptic number.

18872177884560 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 18872177884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50612760576000).

18872177884560 is an abundant number, since it is smaller than the sum of its proper divisors (82353343267440).

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

18872177884560 is a wasteful number, since it uses less digits than its factorization.

18872177884560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 72.

The spelling of 18872177884560 in words is "eighteen trillion, eight hundred seventy-two billion, one hundred seventy-seven million, eight hundred eighty-four thousand, five hundred sixty".