18516766683520 has 256 divisors, whose sum is σ = 50859655833600. Its totient is φ = 6314913792000.

The previous prime is 18516766683487. The next prime is 18516766683539. The reversal of 18516766683520 is 2538666761581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 644921965 + ... + 644950675.

It is an arithmetic number, because the mean of its divisors is an integer number (198670530600).

Almost surely, 2^{18516766683520} is an apocalyptic number.

18516766683520 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 18516766683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25429827916800).

18516766683520 is an abundant number, since it is smaller than the sum of its proper divisors (32342889150080).

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

18516766683520 is a wasteful number, since it uses less digits than its factorization.

18516766683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29497 (or 29485 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 18516766683520 in words is "eighteen trillion, five hundred sixteen billion, seven hundred sixty-six million, six hundred eighty-three thousand, five hundred twenty".