21363322886400 has 432 divisors, whose sum is σ = 77175542324160. Its totient is φ = 5161296691200.

The previous prime is 21363322886393. The next prime is 21363322886449. The reversal of 21363322886400 is 468822336312.

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 21363322886400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61708986 + ... + 62054214.

Almost surely, 2^{21363322886400} is an apocalyptic number.

21363322886400 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 21363322886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38587771162080).

21363322886400 is an abundant number, since it is smaller than the sum of its proper divisors (55812219437760).

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

21363322886400 is a wasteful number, since it uses less digits than its factorization.

21363322886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345562 (or 345543 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 21363322886400 in words is "twenty-one trillion, three hundred sixty-three billion, three hundred twenty-two million, eight hundred eighty-six thousand, four hundred".