85606387838264 has 64 divisors (see below), whose sum is σ = 166331894256000. Its totient is φ = 41256313732480.

The previous prime is 85606387838197. The next prime is 85606387838287. The reversal of 85606387838264 is 46283878360658.

85606387838264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×85606387838264³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85606387838191 and 85606387838200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648177467 + ... + 648309525.

It is an arithmetic number, because the mean of its divisors is an integer number (2598935847750).

Almost surely, 2^{85606387838264} is an apocalyptic number.

It is an amenable number.

85606387838264 is a deficient number, since it is larger than the sum of its proper divisors (80725506417736).

85606387838264 is a wasteful number, since it uses less digits than its factorization.

85606387838264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136868 (or 136864 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 74.

The spelling of 85606387838264 in words is "eighty-five trillion, six hundred six billion, three hundred eighty-seven million, eight hundred thirty-eight thousand, two hundred sixty-four".