21359116800 has 960 divisors, whose sum is σ = 91536403200. Its totient is φ = 4837294080.

The previous prime is 21359116787. The next prime is 21359116837. The reversal of 21359116800 is 861195312.

21359116800 is a `hidden beast` number, since 2 + 1 + 3 + 591 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195955146 + ... + 195955254.

It is an arithmetic number, because the mean of its divisors is an integer number (95350420).

Almost surely, 2^21359116800 is an apocalyptic number.

21359116800 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 21359116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45768201600).

21359116800 is an abundant number, since it is smaller than the sum of its proper divisors (70177286400).

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

21359116800 is an frugal number, since it uses more digits than its factorization.

21359116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 21359116800 in words is "twenty-one billion, three hundred fifty-nine million, one hundred sixteen thousand, eight hundred".