85123865736 has 256 divisors, whose sum is σ = 291420326400. Its totient is φ = 22419514368.

The previous prime is 85123865731. The next prime is 85123865737. The reversal of 85123865736 is 63756832158.

85123865736 is a `hidden beast` number, since 8 + 512 + 38 + 65 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85123865731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16764030 + ... + 16769106.

It is an arithmetic number, because the mean of its divisors is an integer number (1138360650).

Almost surely, 2^85123865736 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 85123865736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145710163200).

85123865736 is an abundant number, since it is smaller than the sum of its proper divisors (206296460664).

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

85123865736 is a wasteful number, since it uses less digits than its factorization.

85123865736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5955 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 85123865736 in words is "eighty-five billion, one hundred twenty-three million, eight hundred sixty-five thousand, seven hundred thirty-six".