18865109760960 has 896 divisors, whose sum is σ = 69141280665600. Its totient is φ = 4329196748800.

The previous prime is 18865109760941. The next prime is 18865109760971. The reversal of 18865109760960 is 6906790156881.

It is a junction number, because it is equal to n+sod(n) for n = 18865109760891 and 18865109760900.

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 127 ways as a sum of consecutive naturals, for example, 1099420861 + ... + 1099438019.

Almost surely, 2^{18865109760960} is an apocalyptic number.

18865109760960 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 18865109760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34570640332800).

18865109760960 is an abundant number, since it is smaller than the sum of its proper divisors (50276170904640).

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

18865109760960 is a wasteful number, since it uses less digits than its factorization.

18865109760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17349 (or 17339 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 18865109760960 in words is "eighteen trillion, eight hundred sixty-five billion, one hundred nine million, seven hundred sixty thousand, nine hundred sixty".