21917734080 has 896 divisors, whose sum is σ = 84945272832. Its totient is φ = 4730880000.

The previous prime is 21917734063. The next prime is 21917734117. The reversal of 21917734080 is 8043771912.

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 127 ways as a sum of consecutive naturals, for example, 308700445 + ... + 308700515.

It is an arithmetic number, because the mean of its divisors is an integer number (94804992).

Almost surely, 2^21917734080 is an apocalyptic number.

21917734080 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 21917734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42472636416).

21917734080 is an abundant number, since it is smaller than the sum of its proper divisors (63027538752).

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

21917734080 is a wasteful number, since it uses less digits than its factorization.

21917734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 21917734080 in words is "twenty-one billion, nine hundred seventeen million, seven hundred thirty-four thousand, eighty".