18138635760 has 320 divisors, whose sum is σ = 69031296000. Its totient is φ = 3927426048.

The previous prime is 18138635747. The next prime is 18138635821. The reversal of 18138635760 is 6753683181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1558282 + ... + 1569878.

It is an arithmetic number, because the mean of its divisors is an integer number (215722800).

Almost surely, 2^18138635760 is an apocalyptic number.

18138635760 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 18138635760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515648000).

18138635760 is an abundant number, since it is smaller than the sum of its proper divisors (50892660240).

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

18138635760 is a wasteful number, since it uses less digits than its factorization.

18138635760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 18138635760 in words is "eighteen billion, one hundred thirty-eight million, six hundred thirty-five thousand, seven hundred sixty".