18640509985120 has 192 divisors, whose sum is σ = 46784428104960. Its totient is φ = 6994199052288.

The previous prime is 18640509985099. The next prime is 18640509985169. The reversal of 18640509985120 is 2158990504681.

It is a super-2 number, since 2×18640509985120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223685024 + ... + 1223700256.

It is an arithmetic number, because the mean of its divisors is an integer number (243668896380).

Almost surely, 2^{18640509985120} is an apocalyptic number.

18640509985120 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 18640509985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23392214052480).

18640509985120 is an abundant number, since it is smaller than the sum of its proper divisors (28143918119840).

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

18640509985120 is a wasteful number, since it uses less digits than its factorization.

18640509985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16737 (or 16729 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 58.

The spelling of 18640509985120 in words is "eighteen trillion, six hundred forty billion, five hundred nine million, nine hundred eighty-five thousand, one hundred twenty".