18293109120 has 768 divisors, whose sum is σ = 76805265600. Its totient is φ = 4087480320.

The previous prime is 18293109119. The next prime is 18293109127. The reversal of 18293109120 is 2190139281.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18293109127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27181104 + ... + 27181776.

Almost surely, 2^18293109120 is an apocalyptic number.

18293109120 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 18293109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38402632800).

18293109120 is an abundant number, since it is smaller than the sum of its proper divisors (58512156480).

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

18293109120 is a wasteful number, since it uses less digits than its factorization.

18293109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 18293109120 in words is "eighteen billion, two hundred ninety-three million, one hundred nine thousand, one hundred twenty".