18465960960 has 528 divisors, whose sum is σ = 68297745600. Its totient is φ = 4731125760.

The previous prime is 18465960911. The next prime is 18465961001. The reversal of 18465960960 is 6906956481.

It is a happy number.

18465960960 is a `hidden beast` number, since 1 + 8 + 46 + 596 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18465960897 and 18465960906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132848571 + ... + 132848709.

Almost surely, 2^18465960960 is an apocalyptic number.

18465960960 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 18465960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34148872800).

18465960960 is an abundant number, since it is smaller than the sum of its proper divisors (49831784640).

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

18465960960 is a wasteful number, since it uses less digits than its factorization.

18465960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 18465960960 in words is "eighteen billion, four hundred sixty-five million, nine hundred sixty thousand, nine hundred sixty".