85909535712 has 1008 divisors, whose sum is σ = 343559035008. Its totient is φ = 20524907520.

The previous prime is 85909535687. The next prime is 85909535753. The reversal of 85909535712 is 21753590958.

85909535712 is a `hidden beast` number, since 8 + 5 + 90 + 9 + 535 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 303567123 + ... + 303567405.

It is an arithmetic number, because the mean of its divisors is an integer number (340832376).

Almost surely, 2^85909535712 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 85909535712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171779517504).

85909535712 is an abundant number, since it is smaller than the sum of its proper divisors (257649499296).

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

85909535712 is a wasteful number, since it uses less digits than its factorization.

85909535712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 85909535712 in words is "eighty-five billion, nine hundred nine million, five hundred thirty-five thousand, seven hundred twelve".