18086622503040 has 2688 divisors, whose sum is σ = 85513953873600. Its totient is φ = 3614103650304.

The previous prime is 18086622503017. The next prime is 18086622503041. The reversal of 18086622503040 is 4030522668081.

18086622503040 is a `hidden beast` number, since 1 + 8 + 0 + 86 + 6 + 22 + 503 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18086622503041) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5646774079 + ... + 5646777281.

Almost surely, 2^{18086622503040} is an apocalyptic number.

18086622503040 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 18086622503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42756976936800).

18086622503040 is an abundant number, since it is smaller than the sum of its proper divisors (67427331370560).

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

18086622503040 is a wasteful number, since it uses less digits than its factorization.

18086622503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18086622503040 in words is "eighteen trillion, eighty-six billion, six hundred twenty-two million, five hundred three thousand, forty".