85762879601 has 6 divisors (see below), whose sum is σ = 99764982450. Its totient is φ = 73511039616.

The previous prime is 85762879589. The next prime is 85762879603. The reversal of 85762879601 is 10697826758.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85553325025 + 209554576 = 292495^2 + 14476^2 .

It is not a de Polignac number, because 85762879601 - 2¹⁰ = 85762878577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85762879603) 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 5 ways as a sum of consecutive naturals, for example, 875131376 + ... + 875131473.

It is an arithmetic number, because the mean of its divisors is an integer number (16627497075).

Almost surely, 2^85762879601 is an apocalyptic number.

It is an amenable number.

85762879601 is a deficient number, since it is larger than the sum of its proper divisors (14002102849).

85762879601 is a wasteful number, since it uses less digits than its factorization.

85762879601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750262863 (or 1750262856 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 85762879601 in words is "eighty-five billion, seven hundred sixty-two million, eight hundred seventy-nine thousand, six hundred one".