85330762272 has 162 divisors, whose sum is σ = 282392049303. Its totient is φ = 24370303104.

The previous prime is 85330762271. The next prime is 85330762301. The reversal of 85330762272 is 27226703358.

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 only one way, i.e., 42665381136 + 42665381136 = 206556^2 + 206556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=206556.

It is not an unprimeable number, because it can be changed into a prime (85330762271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34700179 + ... + 34702637.

Almost surely, 2^85330762272 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 85330762272

85330762272 is an abundant number, since it is smaller than the sum of its proper divisors (197061287031).

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

85330762272 is an equidigital number, since it uses as much as digits as its factorization.

85330762272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 85330762272 in words is "eighty-five billion, three hundred thirty million, seven hundred sixty-two thousand, two hundred seventy-two".