85585050 has 72 divisors (see below), whose sum is σ = 235339104. Its totient is φ = 22286880.

The previous prime is 85585043. The next prime is 85585067. The reversal of 85585050 is 5058558.

85585050 is a `hidden beast` number, since 8 + 558 + 50 + 50 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85584996 and 85585014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17139 + ... + 21561.

Almost surely, 2^85585050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85585050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669552).

85585050 is an abundant number, since it is smaller than the sum of its proper divisors (149754054).

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

85585050 is a wasteful number, since it uses less digits than its factorization.

85585050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 85585050 is about 9251.2188386180. The cubic root of 85585050 is about 440.6894322556.

It can be divided in two parts, 855 and 85050, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85585050 in words is "eighty-five million, five hundred eighty-five thousand, fifty".