20132335217152 has 80 divisors (see below), whose sum is σ = 41218244691624. Its totient is φ = 9817841664000.

The previous prime is 20132335216969. The next prime is 20132335217171. The reversal of 20132335217152 is 25171253323102.

It can be written as a sum of positive squares in 4 ways, for example, as 17590172836096 + 2542162381056 = 4194064^2 + 1594416^2 .

It is a super-2 number, since 2×20132335217152² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74197252 + ... + 74468092.

Almost surely, 2^{20132335217152} 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 20132335217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609122345812).

20132335217152 is an abundant number, since it is smaller than the sum of its proper divisors (21085909474472).

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

20132335217152 is an equidigital number, since it uses as much as digits as its factorization.

20132335217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274441 (or 274425 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 20132335217152 in words is "twenty trillion, one hundred thirty-two billion, three hundred thirty-five million, two hundred seventeen thousand, one hundred fifty-two".