21616768899072 has 576 divisors, whose sum is σ = 65734578000000. Its totient is φ = 7096099405824.

The previous prime is 21616768899031. The next prime is 21616768899083. The reversal of 21616768899072 is 27099886761612.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×21616768899072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 17307260304 + ... + 17307261552.

It is an arithmetic number, because the mean of its divisors is an integer number (114122531250).

Almost surely, 2^{21616768899072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21616768899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32867289000000).

21616768899072 is an abundant number, since it is smaller than the sum of its proper divisors (44117809100928).

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

21616768899072 is an equidigital number, since it uses as much as digits as its factorization.

21616768899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 21616768899072 in words is "twenty-one trillion, six hundred sixteen billion, seven hundred sixty-eight million, eight hundred ninety-nine thousand, seventy-two".