18173872960 has 112 divisors (see below), whose sum is σ = 43828874496. Its totient is φ = 7177254912.

The previous prime is 18173872949. The next prime is 18173872961. The reversal of 18173872960 is 6927837181.

It is a junction number, because it is equal to n+sod(n) for n = 18173872898 and 18173872907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18173872961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12770809 + ... + 12772231.

Almost surely, 2^18173872960 is an apocalyptic number.

18173872960 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 18173872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21914437248).

18173872960 is an abundant number, since it is smaller than the sum of its proper divisors (25655001536).

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

18173872960 is a wasteful number, since it uses less digits than its factorization.

18173872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 18173872960 in words is "eighteen billion, one hundred seventy-three million, eight hundred seventy-two thousand, nine hundred sixty".