85963894416 has 135 divisors (see below), whose sum is σ = 245737442587. Its totient is φ = 28052993280.

The previous prime is 85963894403. The next prime is 85963894417. The reversal of 85963894416 is 61449836958.

The square root of 85963894416 is 293196.

It is a perfect power (a square), and thus also a powerful number.

85963894416 is a `hidden beast` number, since 8 + 59 + 63 + 89 + 441 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175827600 + 85788066816 = 13260^2 + 292896^2 .

It is a super-2 number, since 2×85963894416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85963894417) 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, 186472426 + ... + 186472886.

Almost surely, 2^85963894416 is an apocalyptic number.

85963894416 is the 293196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85963894416

85963894416 is an abundant number, since it is smaller than the sum of its proper divisors (159773548171).

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

85963894416 is an equidigital number, since it uses as much as digits as its factorization.

85963894416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 519 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 85963894416 in words is "eighty-five billion, nine hundred sixty-three million, eight hundred ninety-four thousand, four hundred sixteen".