21359104800 has 288 divisors, whose sum is σ = 76196998080. Its totient is φ = 5153894400.

The previous prime is 21359104763. The next prime is 21359104801. The reversal of 21359104800 is 840195312.

It is a super-2 number, since 2×21359104800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21359104801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6043834 + ... + 6047366.

It is an arithmetic number, because the mean of its divisors is an integer number (264572910).

Almost surely, 2^21359104800 is an apocalyptic number.

21359104800 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 21359104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38098499040).

21359104800 is an abundant number, since it is smaller than the sum of its proper divisors (54837893280).

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

21359104800 is a wasteful number, since it uses less digits than its factorization.

21359104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 21359104800 in words is "twenty-one billion, three hundred fifty-nine million, one hundred four thousand, eight hundred".