18966866600880 has 960 divisors, whose sum is σ = 73808755937280. Its totient is φ = 4321166745600.

The previous prime is 18966866600863. The next prime is 18966866601041. The reversal of 18966866600880 is 8800666866981.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18966866600799 and 18966866600808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5623142874 + ... + 5623146246.

It is an arithmetic number, because the mean of its divisors is an integer number (76884120768).

Almost surely, 2^{18966866600880} is an apocalyptic number.

18966866600880 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 18966866600880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36904377968640).

18966866600880 is an abundant number, since it is smaller than the sum of its proper divisors (54841889336400).

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

18966866600880 is a wasteful number, since it uses less digits than its factorization.

18966866600880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 18966866600880 in words is "eighteen trillion, nine hundred sixty-six billion, eight hundred sixty-six million, six hundred thousand, eight hundred eighty".