85382261406 has 32 divisors (see below), whose sum is σ = 204333618720. Its totient is φ = 26271464832.

The previous prime is 85382261369. The next prime is 85382261413. The reversal of 85382261406 is 60416228358.

85382261406 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 22 + 614 + 0 + 6 = 666.

It is a Curzon number.

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, 60812875 + ... + 60814278.

It is an arithmetic number, because the mean of its divisors is an integer number (6385425585).

Almost surely, 2^85382261406 is an apocalyptic number.

85382261406 is an abundant number, since it is smaller than the sum of its proper divisors (118951357314).

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

85382261406 is a wasteful number, since it uses less digits than its factorization.

85382261406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121627177 (or 121627171 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 85382261406 in words is "eighty-five billion, three hundred eighty-two million, two hundred sixty-one thousand, four hundred six".