18885320868960 has 768 divisors, whose sum is σ = 81417072844800. Its totient is φ = 3981415514112.

The previous prime is 18885320868917. The next prime is 18885320868961. The reversal of 18885320868960 is 6986802358881.

18885320868960 is a `hidden beast` number, since 1 + 8 + 8 + 8 + 532 + 0 + 8 + 6 + 89 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18885320868961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509858121 + ... + 509895159.

It is an arithmetic number, because the mean of its divisors is an integer number (106011813600).

Almost surely, 2^{18885320868960} is an apocalyptic number.

18885320868960 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 18885320868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40708536422400).

18885320868960 is an abundant number, since it is smaller than the sum of its proper divisors (62531751975840).

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

18885320868960 is a wasteful number, since it uses less digits than its factorization.

18885320868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38380 (or 38366 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 18885320868960 in words is "eighteen trillion, eight hundred eighty-five billion, three hundred twenty million, eight hundred sixty-eight thousand, nine hundred sixty".