21950066880 has 280 divisors, whose sum is σ = 89235308448. Its totient is φ = 5017116672.

The previous prime is 21950066869. The next prime is 21950066899. The reversal of 21950066880 is 8866005912.

21950066880 is a `hidden beast` number, since 2 + 1 + 9 + 500 + 6 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120952 + ... + 241928.

Almost surely, 2^21950066880 is an apocalyptic number.

21950066880 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 21950066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44617654224).

21950066880 is an abundant number, since it is smaller than the sum of its proper divisors (67285241568).

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

21950066880 is a wasteful number, since it uses less digits than its factorization.

21950066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121013 (or 120994 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21950066880 in words is "twenty-one billion, nine hundred fifty million, sixty-six thousand, eight hundred eighty".