18517941120 has 512 divisors, whose sum is σ = 71693107200. Its totient is φ = 3971358720.

The previous prime is 18517941107. The next prime is 18517941133. The reversal of 18517941120 is 2114971581.

It is an interprime number because it is at equal distance from previous prime (18517941107) and next prime (18517941133).

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, 32430435 + ... + 32431005.

It is an arithmetic number, because the mean of its divisors is an integer number (140025600).

Almost surely, 2^18517941120 is an apocalyptic number.

18517941120 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 18517941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35846553600).

18517941120 is an abundant number, since it is smaller than the sum of its proper divisors (53175166080).

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

18517941120 is a wasteful number, since it uses less digits than its factorization.

18517941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 18517941120 in words is "eighteen billion, five hundred seventeen million, nine hundred forty-one thousand, one hundred twenty".