85723715196 has 432 divisors, whose sum is σ = 279148746240. Its totient is φ = 21626922240.

The previous prime is 85723715171. The next prime is 85723715257. The reversal of 85723715196 is 69151732758.

85723715196 is a `hidden beast` number, since 8 + 57 + 2 + 3 + 71 + 519 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 203619066 + ... + 203619486.

Almost surely, 2^85723715196 is an apocalyptic number.

85723715196 is a gapful number since it is divisible by the number (86) 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 85723715196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574373120).

85723715196 is an abundant number, since it is smaller than the sum of its proper divisors (193425031044).

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

85723715196 is a wasteful number, since it uses less digits than its factorization.

85723715196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 518 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 85723715196 in words is "eighty-five billion, seven hundred twenty-three million, seven hundred fifteen thousand, one hundred ninety-six".