18375960960 has 1152 divisors, whose sum is σ = 82067731200. Its totient is φ = 3699965952.

The previous prime is 18375960937. The next prime is 18375960961. The reversal of 18375960960 is 6906957381.

18375960960 is a `hidden beast` number, since 18 + 37 + 596 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 18375960897 and 18375960906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18375960961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221397079 + ... + 221397161.

It is an arithmetic number, because the mean of its divisors is an integer number (71239350).

Almost surely, 2^18375960960 is an apocalyptic number.

18375960960 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 18375960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41033865600).

18375960960 is an abundant number, since it is smaller than the sum of its proper divisors (63691770240).

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

18375960960 is a wasteful number, since it uses less digits than its factorization.

18375960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 18375960960 in words is "eighteen billion, three hundred seventy-five million, nine hundred sixty thousand, nine hundred sixty".