20329452000 has 864 divisors, whose sum is σ = 85642764480. Its totient is φ = 4536576000.

The previous prime is 20329451969. The next prime is 20329452007. The reversal of 20329452000 is 25492302.

20329452000 is a `hidden beast` number, since 20 + 32 + 94 + 520 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329452007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56627821 + ... + 56628179.

It is an arithmetic number, because the mean of its divisors is an integer number (99123570).

Almost surely, 2^20329452000 is an apocalyptic number.

20329452000 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 20329452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42821382240).

20329452000 is an abundant number, since it is smaller than the sum of its proper divisors (65313312480).

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

20329452000 is a wasteful number, since it uses less digits than its factorization.

20329452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20329452000 in words is "twenty billion, three hundred twenty-nine million, four hundred fifty-two thousand".