32880201113600 has 336 divisors, whose sum is σ = 84437441361000. Its totient is φ = 12685336903680.

The previous prime is 32880201113581. The next prime is 32880201113633. The reversal of 32880201113600 is 631110208823.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2904488513536 + 29975712600064 = 1704256^2 + 5475008^2 .

It is a super-2 number, since 2×32880201113600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7228004126 + ... + 7228008674.

Almost surely, 2^{32880201113600} 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 32880201113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218720680500).

32880201113600 is an abundant number, since it is smaller than the sum of its proper divisors (51557240247400).

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

32880201113600 is a wasteful number, since it uses less digits than its factorization.

32880201113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 32880201113600 in words is "thirty-two trillion, eight hundred eighty billion, two hundred one million, one hundred thirteen thousand, six hundred".