85296302208 has 320 divisors, whose sum is σ = 277143312600. Its totient is φ = 25882509312.

The previous prime is 85296302207. The next prime is 85296302209. The reversal of 85296302208 is 80220369258.

It is a happy number.

85296302208 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 630 + 2 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (85296302207) and next prime (85296302209).

It can be written as a sum of positive squares in 4 ways, for example, as 59539904064 + 25756398144 = 244008^2 + 160488^2 .

It is not an unprimeable number, because it can be changed into a prime (85296302207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9834898 + ... + 9843566.

Almost surely, 2^85296302208 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 85296302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138571656300).

85296302208 is an abundant number, since it is smaller than the sum of its proper divisors (191847010392).

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

85296302208 is a wasteful number, since it uses less digits than its factorization.

85296302208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85296302208 in words is "eighty-five billion, two hundred ninety-six million, three hundred two thousand, two hundred eight".