85632422400 has 1920 divisors, whose sum is σ = 399431577600. Its totient is φ = 17736744960.

The previous prime is 85632422357. The next prime is 85632422401. The reversal of 85632422400 is 422423658.

85632422400 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 242 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85632422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3723148789 + ... + 3723148811.

It is an arithmetic number, because the mean of its divisors is an integer number (208037280).

Almost surely, 2^85632422400 is an apocalyptic number.

85632422400 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 85632422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199715788800).

85632422400 is an abundant number, since it is smaller than the sum of its proper divisors (313799155200).

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

85632422400 is an equidigital number, since it uses as much as digits as its factorization.

85632422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 85632422400 in words is "eighty-five billion, six hundred thirty-two million, four hundred twenty-two thousand, four hundred".