85909416352 has 96 divisors (see below), whose sum is σ = 173855372544. Its totient is φ = 41772057600.

The previous prime is 85909416317. The next prime is 85909416361. The reversal of 85909416352 is 25361490958.

It is a self number, because there is not a number n which added to its sum of digits gives 85909416352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154235658 + ... + 154236214.

It is an arithmetic number, because the mean of its divisors is an integer number (1810993464).

Almost surely, 2^85909416352 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 85909416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86927686272).

85909416352 is an abundant number, since it is smaller than the sum of its proper divisors (87945956192).

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

85909416352 is a wasteful number, since it uses less digits than its factorization.

85909416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 85909416352 in words is "eighty-five billion, nine hundred nine million, four hundred sixteen thousand, three hundred fifty-two".