18086215680 has 960 divisors, whose sum is σ = 75306430080. Its totient is φ = 4076863488.

The previous prime is 18086215657. The next prime is 18086215751. The reversal of 18086215680 is 8651268081.

18086215680 is a `hidden beast` number, since 1 + 8 + 0 + 86 + 2 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×18086215680² (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 488816622 + ... + 488816658.

It is an arithmetic number, because the mean of its divisors is an integer number (78444198).

Almost surely, 2^18086215680 is an apocalyptic number.

18086215680 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 18086215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37653215040).

18086215680 is an abundant number, since it is smaller than the sum of its proper divisors (57220214400).

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

18086215680 is a wasteful number, since it uses less digits than its factorization.

18086215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 18086215680 in words is "eighteen billion, eighty-six million, two hundred fifteen thousand, six hundred eighty".