20329825152 has 256 divisors, whose sum is σ = 66693312000. Its totient is φ = 5343141888.

The previous prime is 20329825147. The next prime is 20329825163. The reversal of 20329825152 is 25152892302.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20329825152.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12194623 + ... + 12196289.

It is an arithmetic number, because the mean of its divisors is an integer number (260520750).

Almost surely, 2^20329825152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20329825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346656000).

20329825152 is an abundant number, since it is smaller than the sum of its proper divisors (46363486848).

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

20329825152 is a wasteful number, since it uses less digits than its factorization.

20329825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 20329825152 in words is "twenty billion, three hundred twenty-nine million, eight hundred twenty-five thousand, one hundred fifty-two".