85077827712 has 320 divisors, whose sum is σ = 258056409600. Its totient is φ = 27819417600.

The previous prime is 85077827711. The next prime is 85077827741. The reversal of 85077827712 is 21772877058.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85077827711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197396137 + ... + 197396567.

It is an arithmetic number, because the mean of its divisors is an integer number (806426280).

Almost surely, 2^85077827712 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 85077827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129028204800).

85077827712 is an abundant number, since it is smaller than the sum of its proper divisors (172978581888).

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

85077827712 is a wasteful number, since it uses less digits than its factorization.

85077827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3073280, while the sum is 54.

The spelling of 85077827712 in words is "eighty-five billion, seventy-seven million, eight hundred twenty-seven thousand, seven hundred twelve".