21721063096320 has 1472 divisors, whose sum is σ = 86174213554176. Its totient is φ = 4566087106560.

The previous prime is 21721063096279. The next prime is 21721063096331. The reversal of 21721063096320 is 2369036012712.

21721063096320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505141002219 + ... + 505141002261.

Almost surely, 2^{21721063096320} is an apocalyptic number.

21721063096320 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 21721063096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43087106777088).

21721063096320 is an abundant number, since it is smaller than the sum of its proper divisors (64453150457856).

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

21721063096320 is an frugal number, since it uses more digits than its factorization.

21721063096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 21721063096320 in words is "twenty-one trillion, seven hundred twenty-one billion, sixty-three million, ninety-six thousand, three hundred twenty".