21820623360 has 320 divisors, whose sum is σ = 74665971072. Its totient is φ = 5416943616.

The previous prime is 21820623353. The next prime is 21820623389. The reversal of 21820623360 is 6332602812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×21820623360² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12663459 + ... + 12665181.

Almost surely, 2^21820623360 is an apocalyptic number.

21820623360 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 21820623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37332985536).

21820623360 is an abundant number, since it is smaller than the sum of its proper divisors (52845347712).

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

21820623360 is a wasteful number, since it uses less digits than its factorization.

21820623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 21820623360 in words is "twenty-one billion, eight hundred twenty million, six hundred twenty-three thousand, three hundred sixty".