18601086240 has 1152 divisors, whose sum is σ = 78618968064. Its totient is φ = 4105728000.

The previous prime is 18601086239. The next prime is 18601086247. The reversal of 18601086240 is 4268010681.

18601086240 is a `hidden beast` number, since 1 + 8 + 601 + 0 + 8 + 6 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18601086195 and 18601086204.

It is not an unprimeable number, because it can be changed into a prime (18601086247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304935810 + ... + 304935870.

It is an arithmetic number, because the mean of its divisors is an integer number (68245632).

Almost surely, 2^18601086240 is an apocalyptic number.

18601086240 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 18601086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39309484032).

18601086240 is an abundant number, since it is smaller than the sum of its proper divisors (60017881824).

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

18601086240 is a wasteful number, since it uses less digits than its factorization.

18601086240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18601086240 in words is "eighteen billion, six hundred one million, eighty-six thousand, two hundred forty".