85810808832 has 384 divisors, whose sum is σ = 273422822400. Its totient is φ = 23414243328.

The previous prime is 85810808827. The next prime is 85810808833. The reversal of 85810808832 is 23880801858.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (85810808833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133453503 + ... + 133454145.

It is an arithmetic number, because the mean of its divisors is an integer number (712038600).

Almost surely, 2^85810808832 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 85810808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136711411200).

85810808832 is an abundant number, since it is smaller than the sum of its proper divisors (187612013568).

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

85810808832 is a wasteful number, since it uses less digits than its factorization.

85810808832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 85810808832 in words is "eighty-five billion, eight hundred ten million, eight hundred eight thousand, eight hundred thirty-two".