20328362419200 has 792 divisors, whose sum is σ = 75568313672544. Its totient is φ = 4813386547200.

The previous prime is 20328362419187. The next prime is 20328362419207. The reversal of 20328362419200 is 291426382302.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20328362419207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399564964 + ... + 399615836.

Almost surely, 2^{20328362419200} is an apocalyptic number.

20328362419200 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 20328362419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37784156836272).

20328362419200 is an abundant number, since it is smaller than the sum of its proper divisors (55239951253344).

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

20328362419200 is a wasteful number, since it uses less digits than its factorization.

20328362419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50971 (or 50937 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 20328362419200 in words is "twenty trillion, three hundred twenty-eight billion, three hundred sixty-two million, four hundred nineteen thousand, two hundred".