20432104000 has 448 divisors, whose sum is σ = 64704407040. Its totient is φ = 6205440000.

The previous prime is 20432103977. The next prime is 20432104003. The reversal of 20432104000 is 40123402.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20432104003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25255596 + ... + 25256404.

It is an arithmetic number, because the mean of its divisors is an integer number (144429480).

Almost surely, 2^20432104000 is an apocalyptic number.

20432104000 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 20432104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32352203520).

20432104000 is an abundant number, since it is smaller than the sum of its proper divisors (44272303040).

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

20432104000 is a wasteful number, since it uses less digits than its factorization.

20432104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20432104000 its reverse (40123402), we get a palindrome (20472227402).

The spelling of 20432104000 in words is "twenty billion, four hundred thirty-two million, one hundred four thousand".