20332513152 has 240 divisors, whose sum is σ = 68265635880. Its totient is φ = 5808499200.

The previous prime is 20332513133. The next prime is 20332513163. The reversal of 20332513152 is 25131523302.

It is a happy number.

20332513152 is a `hidden beast` number, since 20 + 3 + 325 + 1 + 315 + 2 = 666.

It is a super-2 number, since 2×20332513152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 2762277 + ... + 2769627.

Almost surely, 2^20332513152 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 20332513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34132817940).

20332513152 is an abundant number, since it is smaller than the sum of its proper divisors (47933122728).

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

20332513152 is an frugal number, since it uses more digits than its factorization.

20332513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 20332513152 in words is "twenty billion, three hundred thirty-two million, five hundred thirteen thousand, one hundred fifty-two".