85737312096 has 96 divisors (see below), whose sum is σ = 228445007616. Its totient is φ = 28150080000.

The previous prime is 85737312091. The next prime is 85737312113. The reversal of 85737312096 is 69021373758.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85737312091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8044371 + ... + 8055021.

It is an arithmetic number, because the mean of its divisors is an integer number (2379635496).

Almost surely, 2^85737312096 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 85737312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114222503808).

85737312096 is an abundant number, since it is smaller than the sum of its proper divisors (142707695520).

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

85737312096 is a wasteful number, since it uses less digits than its factorization.

85737312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 85737312096 in words is "eighty-five billion, seven hundred thirty-seven million, three hundred twelve thousand, ninety-six".