18240245052120 has 1792 divisors, whose sum is σ = 80032446950400. Its totient is φ = 3631598530560.

The previous prime is 18240245052097. The next prime is 18240245052131. The reversal of 18240245052120 is 2125054204281.

18240245052120 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 0 + 24 + 505 + 2 + 120 = 666.

It is a super-2 number, since 2×18240245052120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 16688238294 + ... + 16688239386.

It is an arithmetic number, because the mean of its divisors is an integer number (44660963700).

Almost surely, 2^{18240245052120} is an apocalyptic number.

18240245052120 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 18240245052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40016223475200).

18240245052120 is an abundant number, since it is smaller than the sum of its proper divisors (61792201898280).

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

18240245052120 is a wasteful number, since it uses less digits than its factorization.

18240245052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 18240245052120 in words is "eighteen trillion, two hundred forty billion, two hundred forty-five million, fifty-two thousand, one hundred twenty".