85456639008 has 192 divisors, whose sum is σ = 272430184320. Its totient is φ = 25901669376.

The previous prime is 85456639007. The next prime is 85456639027. The reversal of 85456639008 is 80093665458.

It is a happy number.

85456639008 is a `hidden beast` number, since 8 + 545 + 6 + 6 + 3 + 90 + 0 + 8 = 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 (85456639007) 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 31 ways as a sum of consecutive naturals, for example, 695766 + ... + 809322.

It is an arithmetic number, because the mean of its divisors is an integer number (1418907210).

Almost surely, 2^85456639008 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 85456639008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136215092160).

85456639008 is an abundant number, since it is smaller than the sum of its proper divisors (186973545312).

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

85456639008 is a wasteful number, since it uses less digits than its factorization.

85456639008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113656 (or 113642 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85456639008 in words is "eighty-five billion, four hundred fifty-six million, six hundred thirty-nine thousand, eight".