18416864180520 has 2048 divisors, whose sum is σ = 77014941696000. Its totient is φ = 3866610401280.

The previous prime is 18416864180503. The next prime is 18416864180531. The reversal of 18416864180520 is 2508146861481.

18416864180520 is a `hidden beast` number, since 1 + 8 + 41 + 6 + 8 + 64 + 18 + 0 + 520 = 666.

It is a super-2 number, since 2×18416864180520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7037394252 + ... + 7037396868.

It is an arithmetic number, because the mean of its divisors is an integer number (37604952000).

Almost surely, 2^{18416864180520} is an apocalyptic number.

18416864180520 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 18416864180520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38507470848000).

18416864180520 is an abundant number, since it is smaller than the sum of its proper divisors (58598077515480).

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

18416864180520 is a wasteful number, since it uses less digits than its factorization.

18416864180520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

It can be divided in two parts, 1841686 and 4180520, that added together give a palindrome (6022206).

The spelling of 18416864180520 in words is "eighteen trillion, four hundred sixteen billion, eight hundred sixty-four million, one hundred eighty thousand, five hundred twenty".