85685932800 has 648 divisors, whose sum is σ = 338079382368. Its totient is φ = 20570112000.

The previous prime is 85685932699. The next prime is 85685932807. The reversal of 85685932800 is 823958658.

85685932800 is a `hidden beast` number, since 8 + 568 + 59 + 3 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×85685932800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85685932807) 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 71 ways as a sum of consecutive naturals, for example, 30699405 + ... + 30702195.

Almost surely, 2^85685932800 is an apocalyptic number.

85685932800 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 85685932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169039691184).

85685932800 is an abundant number, since it is smaller than the sum of its proper divisors (252393449568).

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

85685932800 is a wasteful number, since it uses less digits than its factorization.

85685932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85685932800 in words is "eighty-five billion, six hundred eighty-five million, nine hundred thirty-two thousand, eight hundred".