85643074800800 has 432 divisors, whose sum is σ = 233432570734272. Its totient is φ = 30427776000000.

The previous prime is 85643074800799. The next prime is 85643074800809. The reversal of 85643074800800 is 800847034658.

It is a super-2 number, since 2×85643074800800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85643074800809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4944456140 + ... + 4944473460.

It is an arithmetic number, because the mean of its divisors is an integer number (540353172996).

Almost surely, 2^{85643074800800} is an apocalyptic number.

85643074800800 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 85643074800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116716285367136).

85643074800800 is an abundant number, since it is smaller than the sum of its proper divisors (147789495933472).

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

85643074800800 is a wasteful number, since it uses less digits than its factorization.

85643074800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 85643074800800 in words is "eighty-five trillion, six hundred forty-three billion, seventy-four million, eight hundred thousand, eight hundred".