85008159129600 has 6480 divisors, whose sum is σ = 416207880990720. Its totient is φ = 16409375539200.

The previous prime is 85008159129529. The next prime is 85008159129667. The reversal of 85008159129600 is 692195180058.

85008159129600 is a `hidden beast` number, since 8 + 5 + 0 + 0 + 8 + 1 + 5 + 9 + 1 + 29 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1808684236777 + ... + 1808684236823.

It is an arithmetic number, because the mean of its divisors is an integer number (64229611264).

Almost surely, 2^{85008159129600} is an apocalyptic number.

85008159129600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85008159129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208103940495360).

85008159129600 is an abundant number, since it is smaller than the sum of its proper divisors (331199721861120).

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

85008159129600 is a wasteful number, since it uses less digits than its factorization.

85008159129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 85008159129600 in words is "eighty-five trillion, eight billion, one hundred fifty-nine million, one hundred twenty-nine thousand, six hundred".