85308889680 has 480 divisors, whose sum is σ = 342749062656. Its totient is φ = 18591952896.

The previous prime is 85308889663. The next prime is 85308889723. The reversal of 85308889680 is 8698880358.

85308889680 is a `hidden beast` number, since 8 + 530 + 8 + 8 + 8 + 96 + 8 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43237174 + ... + 43239146.

Almost surely, 2^85308889680 is an apocalyptic number.

85308889680 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 85308889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171374531328).

85308889680 is an abundant number, since it is smaller than the sum of its proper divisors (257440172976).

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

85308889680 is a wasteful number, since it uses less digits than its factorization.

85308889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 85308889680 in words is "eighty-five billion, three hundred eight million, eight hundred eighty-nine thousand, six hundred eighty".