21820648608 has 72 divisors (see below), whose sum is σ = 67693612896. Its totient is φ = 6612316800.

The previous prime is 21820648607. The next prime is 21820648649. The reversal of 21820648608 is 80684602812.

21820648608 is a `hidden beast` number, since 2 + 18 + 20 + 6 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21820648608² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21820648607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3440748 + ... + 3447083.

It is an arithmetic number, because the mean of its divisors is an integer number (940189068).

Almost surely, 2^21820648608 is an apocalyptic number.

It is an amenable number.

21820648608 is an abundant number, since it is smaller than the sum of its proper divisors (45872964288).

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

21820648608 is a wasteful number, since it uses less digits than its factorization.

21820648608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887858 (or 6887847 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 21820648608 in words is "twenty-one billion, eight hundred twenty million, six hundred forty-eight thousand, six hundred eight".