85239096768 has 672 divisors, whose sum is σ = 300711290880. Its totient is φ = 23436241920.

The previous prime is 85239096757. The next prime is 85239096791. The reversal of 85239096768 is 86769093258.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613230843 + ... + 613230981.

It is an arithmetic number, because the mean of its divisors is an integer number (447487040).

Almost surely, 2^85239096768 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 85239096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150355645440).

85239096768 is an abundant number, since it is smaller than the sum of its proper divisors (215472194112).

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

85239096768 is a wasteful number, since it uses less digits than its factorization.

85239096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 85239096768 in words is "eighty-five billion, two hundred thirty-nine million, ninety-six thousand, seven hundred sixty-eight".