18086122800 has 480 divisors, whose sum is σ = 69081292800. Its totient is φ = 4480220160.

The previous prime is 18086122799. The next prime is 18086122891. The reversal of 18086122800 is 822168081.

18086122800 is a `hidden beast` number, since 18 + 0 + 8 + 612 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10874769 + ... + 10876431.

It is an arithmetic number, because the mean of its divisors is an integer number (143919360).

Almost surely, 2^18086122800 is an apocalyptic number.

18086122800 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 18086122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34540646400).

18086122800 is an abundant number, since it is smaller than the sum of its proper divisors (50995170000).

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

18086122800 is a wasteful number, since it uses less digits than its factorization.

18086122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 18086122800 in words is "eighteen billion, eighty-six million, one hundred twenty-two thousand, eight hundred".