85760243952 has 40 divisors (see below), whose sum is σ = 221584366800. Its totient is φ = 28581964800.

The previous prime is 85760243929. The next prime is 85760243953. The reversal of 85760243952 is 25934206758.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85760243895 and 85760243904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85760243953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146424 + ... + 439272.

It is an arithmetic number, because the mean of its divisors is an integer number (5539609170).

Almost surely, 2^85760243952 is an apocalyptic number.

It is a pronic number, being equal to 292848×292849.

It is an amenable number.

85760243952 is an abundant number, since it is smaller than the sum of its proper divisors (135824122848).

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

85760243952 is a wasteful number, since it uses less digits than its factorization.

85760243952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298961 (or 298955 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 85760243952 in words is "eighty-five billion, seven hundred sixty million, two hundred forty-three thousand, nine hundred fifty-two".