21381322396800 has 192 divisors, whose sum is σ = 72853170580800. Its totient is φ = 5505076039680.

The previous prime is 21381322396783. The next prime is 21381322396871. The reversal of 21381322396800 is 869322318312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21381322396800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38121964 + ... + 38678763.

It is an arithmetic number, because the mean of its divisors is an integer number (379443596775).

Almost surely, 2^{21381322396800} is an apocalyptic number.

21381322396800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21381322396800 is an abundant number, since it is smaller than the sum of its proper divisors (51471848184000).

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

21381322396800 is a wasteful number, since it uses less digits than its factorization.

21381322396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76800783 (or 76800766 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 21381322396800 in words is "twenty-one trillion, three hundred eighty-one billion, three hundred twenty-two million, three hundred ninety-six thousand, eight hundred".