21820514720 has 96 divisors (see below), whose sum is σ = 52432966656. Its totient is φ = 8580096000.

The previous prime is 21820514707. The next prime is 21820514741. The reversal of 21820514720 is 2741502812.

It is a super-3 number, since 3×21820514720³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 2338865 + ... + 2348175.

It is an arithmetic number, because the mean of its divisors is an integer number (546176736).

Almost surely, 2^21820514720 is an apocalyptic number.

21820514720 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 21820514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216483328).

21820514720 is an abundant number, since it is smaller than the sum of its proper divisors (30612451936).

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

21820514720 is a wasteful number, since it uses less digits than its factorization.

21820514720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 21820514720 in words is "twenty-one billion, eight hundred twenty million, five hundred fourteen thousand, seven hundred twenty".