21066888960 has 864 divisors, whose sum is σ = 83246462208. Its totient is φ = 4883742720.

The previous prime is 21066888929. The next prime is 21066888967. The reversal of 21066888960 is 6988866012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21066888897 and 21066888906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21066888967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288587484 + ... + 288587556.

It is an arithmetic number, because the mean of its divisors is an integer number (96350072).

Almost surely, 2^21066888960 is an apocalyptic number.

21066888960 is a gapful number since it is divisible by the number (20) 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 21066888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41623231104).

21066888960 is an abundant number, since it is smaller than the sum of its proper divisors (62179573248).

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

21066888960 is a wasteful number, since it uses less digits than its factorization.

21066888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 21066888960 in words is "twenty-one billion, sixty-six million, eight hundred eighty-eight thousand, nine hundred sixty".