85765687296 has 48 divisors (see below), whose sum is σ = 228652678800. Its totient is φ = 28588560384.

The previous prime is 85765687243. The next prime is 85765687331. The reversal of 85765687296 is 69278656758.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85765687296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6973486 + ... + 6985773.

It is an arithmetic number, because the mean of its divisors is an integer number (4763597475).

Almost surely, 2^85765687296 is an apocalyptic number.

It is an amenable number.

85765687296 is an abundant number, since it is smaller than the sum of its proper divisors (142886991504).

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

85765687296 is a wasteful number, since it uses less digits than its factorization.

85765687296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13959284 (or 13959264 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 69.

The spelling of 85765687296 in words is "eighty-five billion, seven hundred sixty-five million, six hundred eighty-seven thousand, two hundred ninety-six".