18712890984960 has 640 divisors, whose sum is σ = 66906989107200. Its totient is φ = 4957388144640.

The previous prime is 18712890984899. The next prime is 18712890985003. The reversal of 18712890984960 is 6948909821781.

18712890984960 is a `hidden beast` number, since 1 + 8 + 7 + 128 + 9 + 0 + 9 + 8 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 8478880177 + ... + 8478882383.

It is an arithmetic number, because the mean of its divisors is an integer number (104542170480).

Almost surely, 2^{18712890984960} is an apocalyptic number.

18712890984960 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 18712890984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33453494553600).

18712890984960 is an abundant number, since it is smaller than the sum of its proper divisors (48194098122240).

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

18712890984960 is a wasteful number, since it uses less digits than its factorization.

18712890984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 18712890984960 in words is "eighteen trillion, seven hundred twelve billion, eight hundred ninety million, nine hundred eighty-four thousand, nine hundred sixty".