85360509234 has 512 divisors, whose sum is σ = 265706864640. Its totient is φ = 19758816000.

The previous prime is 85360509233. The next prime is 85360509253. The reversal of 85360509234 is 43290506358.

85360509234 is a `hidden beast` number, since 8 + 5 + 3 + 605 + 0 + 9 + 2 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85360509234.

It is not an unprimeable number, because it can be changed into a prime (85360509233) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 202756344 + ... + 202756764.

It is an arithmetic number, because the mean of its divisors is an integer number (518958720).

Almost surely, 2^85360509234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85360509234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132853432320).

85360509234 is an abundant number, since it is smaller than the sum of its proper divisors (180346355406).

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

85360509234 is a wasteful number, since it uses less digits than its factorization.

85360509234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 85360509234 in words is "eighty-five billion, three hundred sixty million, five hundred nine thousand, two hundred thirty-four".