21789658080 has 288 divisors, whose sum is σ = 77643165600. Its totient is φ = 5557579776.

The previous prime is 21789658069. The next prime is 21789658201. The reversal of 21789658080 is 8085698712.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4549447 + ... + 4554233.

It is an arithmetic number, because the mean of its divisors is an integer number (269594325).

Almost surely, 2^21789658080 is an apocalyptic number.

21789658080 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 21789658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38821582800).

21789658080 is an abundant number, since it is smaller than the sum of its proper divisors (55853507520).

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

21789658080 is a wasteful number, since it uses less digits than its factorization.

21789658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 21789658080 in words is "twenty-one billion, seven hundred eighty-nine million, six hundred fifty-eight thousand, eighty".