85909954816 has 81 divisors (see below), whose sum is σ = 199558018989. Its totient is φ = 36804483072.

The previous prime is 85909954783. The next prime is 85909954817. The reversal of 85909954816 is 61845990958.

The square root of 85909954816 is 293104.

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

It can be written as a sum of positive squares in only one way, i.e., 83821830400 + 2088124416 = 289520^2 + 45696^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (85909954817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32826340 + ... + 32828956.

Almost surely, 2^85909954816 is an apocalyptic number.

85909954816 is the 293104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85909954816

85909954816 is an abundant number, since it is smaller than the sum of its proper divisors (113648064173).

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

85909954816 is an frugal number, since it uses more digits than its factorization.

85909954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 64.

Multiplying 85909954816 by its sum of digits (64), we get a square (5498237108224 = 2344832²).

85909954816 divided by its sum of digits (64) gives a square (1342343044 = 36638²).

The spelling of 85909954816 in words is "eighty-five billion, nine hundred nine million, nine hundred fifty-four thousand, eight hundred sixteen".