21627820096 has 63 divisors (see below), whose sum is σ = 44421716973. Its totient is φ = 10447426560.

The previous prime is 21627820091. The next prime is 21627820111. The reversal of 21627820096 is 69002872612.

The square root of 21627820096 is 147064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13298702400 + 8329117696 = 115320^2 + 91264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21627820091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36471576 + ... + 36472168.

Almost surely, 2^21627820096 is an apocalyptic number.

21627820096 is the 147064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21627820096

21627820096 is an abundant number, since it is smaller than the sum of its proper divisors (22793896877).

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

21627820096 is an frugal number, since it uses more digits than its factorization.

21627820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 21627820096 in words is "twenty-one billion, six hundred twenty-seven million, eight hundred twenty thousand, ninety-six".