21889458720 has 144 divisors (see below), whose sum is σ = 75074126400. Its totient is φ = 5807780352.

The previous prime is 21889458719. The next prime is 21889458737. The reversal of 21889458720 is 2785498812.

21889458720 is a `hidden beast` number, since 2 + 188 + 9 + 458 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248367 + ... + 324753.

It is an arithmetic number, because the mean of its divisors is an integer number (521348100).

Almost surely, 2^21889458720 is an apocalyptic number.

21889458720 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 21889458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537063200).

21889458720 is an abundant number, since it is smaller than the sum of its proper divisors (53184667680).

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

21889458720 is a wasteful number, since it uses less digits than its factorization.

21889458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76607 (or 76596 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 21889458720 in words is "twenty-one billion, eight hundred eighty-nine million, four hundred fifty-eight thousand, seven hundred twenty".