20332001323200 has 672 divisors, whose sum is σ = 80353472048640. Its totient is φ = 4396916736000.

The previous prime is 20332001323169. The next prime is 20332001323241. The reversal of 20332001323200 is 232310023302.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 493462600 + ... + 493503800.

It is an arithmetic number, because the mean of its divisors is an integer number (119573619120).

Almost surely, 2^{20332001323200} is an apocalyptic number.

20332001323200 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 20332001323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176736024320).

20332001323200 is an abundant number, since it is smaller than the sum of its proper divisors (60021470725440).

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

20332001323200 is a wasteful number, since it uses less digits than its factorization.

20332001323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42025 (or 42010 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20332001323200 its reverse (232310023302), we get a palindrome (20564311346502).

The spelling of 20332001323200 in words is "twenty trillion, three hundred thirty-two billion, one million, three hundred twenty-three thousand, two hundred".