85051985760 has 576 divisors, whose sum is σ = 337829087232. Its totient is φ = 19084750848.

The previous prime is 85051985749. The next prime is 85051985801. The reversal of 85051985760 is 6758915058.

85051985760 is a `hidden beast` number, since 8 + 50 + 5 + 19 + 8 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85051985697 and 85051985706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231749097 + ... + 231749463.

It is an arithmetic number, because the mean of its divisors is an integer number (586508832).

Almost surely, 2^85051985760 is an apocalyptic number.

85051985760 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 85051985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168914543616).

85051985760 is an abundant number, since it is smaller than the sum of its proper divisors (252777101472).

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

85051985760 is a wasteful number, since it uses less digits than its factorization.

85051985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 85051985760 in words is "eighty-five billion, fifty-one million, nine hundred eighty-five thousand, seven hundred sixty".