85310208000 has 576 divisors, whose sum is σ = 313052463360. Its totient is φ = 22339584000.

The previous prime is 85310207987. The next prime is 85310208001. The reversal of 85310208000 is 80201358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85310208001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140543697 + ... + 140544303.

It is an arithmetic number, because the mean of its divisors is an integer number (543493860).

Almost surely, 2^85310208000 is an apocalyptic number.

85310208000 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 85310208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156526231680).

85310208000 is an abundant number, since it is smaller than the sum of its proper divisors (227742255360).

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

85310208000 is a wasteful number, since it uses less digits than its factorization.

85310208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 85310208000 its reverse (80201358), we get a palindrome (85390409358).

The spelling of 85310208000 in words is "eighty-five billion, three hundred ten million, two hundred eight thousand".