85368536064000 has 4704 divisors, whose sum is σ = 399438509191488. Its totient is φ = 17772576768000.

The previous prime is 85368536063971. The next prime is 85368536064011. The reversal of 85368536064000 is 46063586358.

It is a happy number.

85368536064000 is a `hidden beast` number, since 8 + 5 + 3 + 68 + 536 + 0 + 6 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×85368536064000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2753823743985 + ... + 2753823744015.

Almost surely, 2^{85368536064000} is an apocalyptic number.

85368536064000 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 85368536064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199719254595744).

85368536064000 is an abundant number, since it is smaller than the sum of its proper divisors (314069973127488).

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

85368536064000 is an frugal number, since it uses more digits than its factorization.

85368536064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 85368536064000 in words is "eighty-five trillion, three hundred sixty-eight billion, five hundred thirty-six million, sixty-four thousand".