21808032480 has 864 divisors, whose sum is σ = 88705562400. Its totient is φ = 4843044864.

The previous prime is 21808032473. The next prime is 21808032517. The reversal of 21808032480 is 8423080812.

It is a happy number.

21808032480 is a `hidden beast` number, since 2 + 180 + 80 + 324 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156892251 + ... + 156892389.

It is an arithmetic number, because the mean of its divisors is an integer number (102668475).

Almost surely, 2^21808032480 is an apocalyptic number.

21808032480 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 21808032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352781200).

21808032480 is an abundant number, since it is smaller than the sum of its proper divisors (66897529920).

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

21808032480 is a wasteful number, since it uses less digits than its factorization.

21808032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 21808032480 in words is "twenty-one billion, eight hundred eight million, thirty-two thousand, four hundred eighty".