21966428880 has 400 divisors, whose sum is σ = 85921786368. Its totient is φ = 5152896000.

The previous prime is 21966428873. The next prime is 21966428881. The reversal of 21966428880 is 8882466912.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21966428881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2204710 + ... + 2214650.

Almost surely, 2^21966428880 is an apocalyptic number.

21966428880 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 21966428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42960893184).

21966428880 is an abundant number, since it is smaller than the sum of its proper divisors (63955357488).

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

21966428880 is a wasteful number, since it uses less digits than its factorization.

21966428880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 21966428880 in words is "twenty-one billion, nine hundred sixty-six million, four hundred twenty-eight thousand, eight hundred eighty".