20329405000 has 80 divisors (see below), whose sum is σ = 48285153180. Its totient is φ = 8020224000.

The previous prime is 20329404941. The next prime is 20329405003. The reversal of 20329405000 is 50492302.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 388011204 + 19941393796 = 19698^2 + 141214^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20329405003) 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 19 ways as a sum of consecutive naturals, for example, 337152 + ... + 392848.

Almost surely, 2^20329405000 is an apocalyptic number.

20329405000 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 20329405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24142576590).

20329405000 is an abundant number, since it is smaller than the sum of its proper divisors (27955748180).

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

20329405000 is an equidigital number, since it uses as much as digits as its factorization.

20329405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55796 (or 55777 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 20329405000 its reverse (50492302), we get a palindrome (20379897302).

The spelling of 20329405000 in words is "twenty billion, three hundred twenty-nine million, four hundred five thousand".