85196789760 has 192 divisors, whose sum is σ = 275121100800. Its totient is φ = 22505947136.

The previous prime is 85196789753. The next prime is 85196789767. The reversal of 85196789760 is 6798769158.

It is an interprime number because it is at equal distance from previous prime (85196789753) and next prime (85196789767).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 85196789691 and 85196789700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85196789767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3274081 + ... + 3299999.

It is an arithmetic number, because the mean of its divisors is an integer number (1432922400).

Almost surely, 2^85196789760 is an apocalyptic number.

85196789760 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 85196789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137560550400).

85196789760 is an abundant number, since it is smaller than the sum of its proper divisors (189924311040).

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

85196789760 is a wasteful number, since it uses less digits than its factorization.

85196789760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26056 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 85196789760 in words is "eighty-five billion, one hundred ninety-six million, seven hundred eighty-nine thousand, seven hundred sixty".