20032132332300 has 288 divisors, whose sum is σ = 63432404066304. Its totient is φ = 4840654368000.

The previous prime is 20032132332269. The next prime is 20032132332367. The reversal of 20032132332300 is 323323123002.

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 95 ways as a sum of consecutive naturals, for example, 1350685885 + ... + 1350700715.

It is an arithmetic number, because the mean of its divisors is an integer number (220251403008).

Almost surely, 2^{20032132332300} is an apocalyptic number.

20032132332300 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 20032132332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31716202033152).

20032132332300 is an abundant number, since it is smaller than the sum of its proper divisors (43400271734004).

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

20032132332300 is a wasteful number, since it uses less digits than its factorization.

20032132332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16149 (or 16142 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 20032132332300 its reverse (323323123002), we get a palindrome (20355455455302).

The spelling of 20032132332300 in words is "twenty trillion, thirty-two billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred".