18104680020960 has 960 divisors, whose sum is σ = 74767828101120. Its totient is φ = 4085766696960.

The previous prime is 18104680020949. The next prime is 18104680021003. The reversal of 18104680020960 is 6902008640181.

18104680020960 is a `hidden beast` number, since 1 + 81 + 0 + 468 + 0 + 0 + 20 + 96 + 0 = 666.

It is a super-2 number, since 2×18104680020960² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 99143499 + ... + 99325941.

It is an arithmetic number, because the mean of its divisors is an integer number (77883154272).

Almost surely, 2^{18104680020960} is an apocalyptic number.

18104680020960 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 18104680020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37383914050560).

18104680020960 is an abundant number, since it is smaller than the sum of its proper divisors (56663148080160).

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

18104680020960 is a wasteful number, since it uses less digits than its factorization.

18104680020960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182533 (or 182516 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18104680020960 in words is "eighteen trillion, one hundred four billion, six hundred eighty million, twenty thousand, nine hundred sixty".