22721921280 has 288 divisors, whose sum is σ = 81236736000. Its totient is φ = 6013698048.

The previous prime is 22721921263. The next prime is 22721921309. The reversal of 22721921280 is 8212912722.

22721921280 is a `hidden beast` number, since 227 + 219 + 212 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4732321 + ... + 4737119.

It is an arithmetic number, because the mean of its divisors is an integer number (282072000).

Almost surely, 2^22721921280 is an apocalyptic number.

22721921280 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 22721921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40618368000).

22721921280 is an abundant number, since it is smaller than the sum of its proper divisors (58514814720).

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

22721921280 is a wasteful number, since it uses less digits than its factorization.

22721921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 22721921280 in words is "twenty-two billion, seven hundred twenty-one million, nine hundred twenty-one thousand, two hundred eighty".