85878888601 has 9 divisors (see below), whose sum is σ = 94399346559. Its totient is φ = 78068786400.

The previous prime is 85878888541. The next prime is 85878888607. The reversal of 85878888601 is 10688887858.

The square root of 85878888601 is 293051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5336448601 + 80542440000 = 73051^2 + 283800^2 .

It is not a de Polignac number, because 85878888601 - 2¹⁵ = 85878855833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85878888607) 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 8 ways as a sum of consecutive naturals, for example, 3210241 + ... + 3236881.

Almost surely, 2^85878888601 is an apocalyptic number.

85878888601 is the 293051-st square number.

85878888601 is the 146526-th centered octagonal number.

It is an amenable number.

85878888601 is a deficient number, since it is larger than the sum of its proper divisors (8520457958).

85878888601 is an frugal number, since it uses more digits than its factorization.

85878888601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53304 (or 26652 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 67.

It can be divided in two parts, 85878 and 888601, that added together give a palindrome (974479).

The spelling of 85878888601 in words is "eighty-five billion, eight hundred seventy-eight million, eight hundred eighty-eight thousand, six hundred one".