32755240322112 has 2016 divisors, whose sum is σ = 118508388913152. Its totient is φ = 7942910976000.

The previous prime is 32755240322089. The next prime is 32755240322117. The reversal of 32755240322112 is 21122304255723.

It is a super-2 number, since 2×32755240322112² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32755240322117) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155238105687 + ... + 155238105897.

It is an arithmetic number, because the mean of its divisors is an integer number (58783923072).

Almost surely, 2^{32755240322112} is an apocalyptic number.

32755240322112 is a gapful number since it is divisible by the number (32) 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 32755240322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59254194456576).

32755240322112 is an abundant number, since it is smaller than the sum of its proper divisors (85753148591040).

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

32755240322112 is a wasteful number, since it uses less digits than its factorization.

32755240322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 32755240322112 its reverse (21122304255723), we get a palindrome (53877544577835).

The spelling of 32755240322112 in words is "thirty-two trillion, seven hundred fifty-five billion, two hundred forty million, three hundred twenty-two thousand, one hundred twelve".