18559801982016 has 672 divisors, whose sum is σ = 58761172800000. Its totient is φ = 5742471241728.

The previous prime is 18559801981993. The next prime is 18559801982017. The reversal of 18559801982016 is 61028910895581.

18559801982016 is a `hidden beast` number, since 1 + 8 + 5 + 598 + 0 + 1 + 9 + 8 + 20 + 16 = 666.

It is a super-2 number, since 2×18559801982016² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18559801982017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6751472610 + ... + 6751475358.

Almost surely, 2^{18559801982016} is an apocalyptic number.

18559801982016 is a gapful number since it is divisible by the number (16) 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 18559801982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29380586400000).

18559801982016 is an abundant number, since it is smaller than the sum of its proper divisors (40201370817984).

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

18559801982016 is a wasteful number, since it uses less digits than its factorization.

18559801982016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 63.

The spelling of 18559801982016 in words is "eighteen trillion, five hundred fifty-nine billion, eight hundred one million, nine hundred eighty-two thousand, sixteen".