85089312000 has 1152 divisors, whose sum is σ = 391820083200. Its totient is φ = 17667072000.

The previous prime is 85089311953. The next prime is 85089312029. The reversal of 85089312000 is 21398058.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66527361 + ... + 66528639.

It is an arithmetic number, because the mean of its divisors is an integer number (340121600).

Almost surely, 2^85089312000 is an apocalyptic number.

85089312000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85089312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195910041600).

85089312000 is an abundant number, since it is smaller than the sum of its proper divisors (306730771200).

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

85089312000 is a wasteful number, since it uses less digits than its factorization.

85089312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 85089312000 in words is "eighty-five billion, eighty-nine million, three hundred twelve thousand".