21633288480 has 288 divisors, whose sum is σ = 77229210240. Its totient is φ = 5504040960.

The previous prime is 21633288463. The next prime is 21633288487. The reversal of 21633288480 is 8488233612.

21633288480 is a `hidden beast` number, since 2 + 1 + 63 + 32 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (21633288487) 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 47 ways as a sum of consecutive naturals, for example, 21229411 + ... + 21230429.

It is an arithmetic number, because the mean of its divisors is an integer number (268156980).

Almost surely, 2^21633288480 is an apocalyptic number.

21633288480 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 21633288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38614605120).

21633288480 is an abundant number, since it is smaller than the sum of its proper divisors (55595921760).

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

21633288480 is a wasteful number, since it uses less digits than its factorization.

21633288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 21633288480 in words is "twenty-one billion, six hundred thirty-three million, two hundred eighty-eight thousand, four hundred eighty".