85632016320 has 448 divisors, whose sum is σ = 312953034240. Its totient is φ = 22027493376.

The previous prime is 85632016319. The next prime is 85632016339. The reversal of 85632016320 is 2361023658.

It is a happy number.

85632016320 is a `hidden beast` number, since 8 + 5 + 6 + 320 + 1 + 6 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30834772 + ... + 30837548.

It is an arithmetic number, because the mean of its divisors is an integer number (698555880).

Almost surely, 2^85632016320 is an apocalyptic number.

85632016320 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 85632016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156476517120).

85632016320 is an abundant number, since it is smaller than the sum of its proper divisors (227321017920).

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

85632016320 is a wasteful number, since it uses less digits than its factorization.

85632016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 85632016320 its reverse (2361023658), we get a palindrome (87993039978).

The spelling of 85632016320 in words is "eighty-five billion, six hundred thirty-two million, sixteen thousand, three hundred twenty".