18101000960 has 288 divisors, whose sum is σ = 51624179712. Its totient is φ = 5952061440.

The previous prime is 18101000947. The next prime is 18101000977. The reversal of 18101000960 is 6900010181.

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, 22318955 + ... + 22319765.

It is an arithmetic number, because the mean of its divisors is an integer number (179250624).

Almost surely, 2^18101000960 is an apocalyptic number.

18101000960 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 18101000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812089856).

18101000960 is an abundant number, since it is smaller than the sum of its proper divisors (33523178752).

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

18101000960 is an equidigital number, since it uses as much as digits as its factorization.

18101000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 18101000960 in words is "eighteen billion, one hundred one million, nine hundred sixty", and thus it is an aban number.