21322738763200 has 336 divisors, whose sum is σ = 62606793337344. Its totient is φ = 6988648550400.

The previous prime is 21322738763101. The next prime is 21322738763203. The reversal of 21322738763200 is 236783722312.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322738763203) by changing a digit.

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, 450003510 + ... + 450050890.

Almost surely, 2^{21322738763200} is an apocalyptic number.

21322738763200 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 21322738763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31303396668672).

21322738763200 is an abundant number, since it is smaller than the sum of its proper divisors (41284054574144).

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

21322738763200 is a wasteful number, since it uses less digits than its factorization.

21322738763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49180 (or 49165 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 21322738763200 in words is "twenty-one trillion, three hundred twenty-two billion, seven hundred thirty-eight million, seven hundred sixty-three thousand, two hundred".