21986142208800 has 1152 divisors, whose sum is σ = 90996163872768. Its totient is φ = 4478312448000.

The previous prime is 21986142208781. The next prime is 21986142208831. The reversal of 21986142208800 is 880224168912.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3460746424 + ... + 3460752776.

It is an arithmetic number, because the mean of its divisors is an integer number (78989725584).

Almost surely, 2^{21986142208800} is an apocalyptic number.

21986142208800 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 21986142208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45498081936384).

21986142208800 is an abundant number, since it is smaller than the sum of its proper divisors (69010021663968).

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

21986142208800 is a wasteful number, since it uses less digits than its factorization.

21986142208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 21986142208800 in words is "twenty-one trillion, nine hundred eighty-six billion, one hundred forty-two million, two hundred eight thousand, eight hundred".