85305749760 has 864 divisors, whose sum is σ = 389692622592. Its totient is φ = 16680222720.

The previous prime is 85305749747. The next prime is 85305749773. The reversal of 85305749760 is 6794750358.

85305749760 is a `hidden beast` number, since 8 + 5 + 3 + 0 + 574 + 9 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (85305749747) and next prime (85305749773).

It is a junction number, because it is equal to n+sod(n) for n = 85305749697 and 85305749706.

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, 15076852 + ... + 15082508.

It is an arithmetic number, because the mean of its divisors is an integer number (451033128).

Almost surely, 2^85305749760 is an apocalyptic number.

85305749760 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 85305749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194846311296).

85305749760 is an abundant number, since it is smaller than the sum of its proper divisors (304386872832).

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

85305749760 is a wasteful number, since it uses less digits than its factorization.

85305749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 85305749760 in words is "eighty-five billion, three hundred five million, seven hundred forty-nine thousand, seven hundred sixty".