32819220000 has 810 divisors, whose sum is σ = 137925997209. Its totient is φ = 7378560000.

The previous prime is 32819219999. The next prime is 32819220023. The reversal of 32819220000 is 2291823.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 19749243024 + 13069976976 = 140532^2 + 114324^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=128100.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 538019970 + ... + 538020030.

Almost surely, 2^32819220000 is an apocalyptic number.

32819220000 is a gapful number since it is divisible by the number (30) 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 32819220000

32819220000 is an abundant number, since it is smaller than the sum of its proper divisors (105106777209).

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

32819220000 is an equidigital number, since it uses as much as digits as its factorization.

32819220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 32819220000 in words is "thirty-two billion, eight hundred nineteen million, two hundred twenty thousand".