21904058880 has 840 divisors, whose sum is σ = 87442942356. Its totient is φ = 5255331840.

The previous prime is 21904058797. The next prime is 21904058881. The reversal of 21904058880 is 8885040912.

It is a happy number.

21904058880 is a `hidden beast` number, since 2 + 1 + 90 + 405 + 88 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21700825344 + 203233536 = 147312^2 + 14256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21904058881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 225814992 + ... + 225815088.

Almost surely, 2^21904058880 is an apocalyptic number.

21904058880 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 21904058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43721471178).

21904058880 is an abundant number, since it is smaller than the sum of its proper divisors (65538883476).

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

21904058880 is an frugal number, since it uses more digits than its factorization.

21904058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 21904058880 in words is "twenty-one billion, nine hundred four million, fifty-eight thousand, eight hundred eighty".