21288704800 has 288 divisors, whose sum is σ = 58748989824. Its totient is φ = 7464960000.

The previous prime is 21288704791. The next prime is 21288704839. The reversal of 21288704800 is 840788212.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49165384 + ... + 49165816.

It is an arithmetic number, because the mean of its divisors is an integer number (203989548).

Almost surely, 2^21288704800 is an apocalyptic number.

21288704800 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 21288704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29374494912).

21288704800 is an abundant number, since it is smaller than the sum of its proper divisors (37460285024).

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

21288704800 is a wasteful number, since it uses less digits than its factorization.

21288704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 21288704800 in words is "twenty-one billion, two hundred eighty-eight million, seven hundred four thousand, eight hundred".