85013603136 has 560 divisors, whose sum is σ = 317853486720. Its totient is φ = 21824225280.

The previous prime is 85013603089. The next prime is 85013603141. The reversal of 85013603136 is 63130631058.

It is a happy number.

85013603136 is a `hidden beast` number, since 8 + 5 + 0 + 13 + 603 + 1 + 36 = 666.

It is a super-3 number, since 3×85013603136³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85013603136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35524756 + ... + 35527148.

It is an arithmetic number, because the mean of its divisors is an integer number (567595512).

Almost surely, 2^85013603136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85013603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158926743360).

85013603136 is an abundant number, since it is smaller than the sum of its proper divisors (232839883584).

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

85013603136 is a wasteful number, since it uses less digits than its factorization.

85013603136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 85013603136 in words is "eighty-five billion, thirteen million, six hundred three thousand, one hundred thirty-six".