85304628864 has 768 divisors, whose sum is σ = 314370201600. Its totient is φ = 21605253120.

The previous prime is 85304628859. The next prime is 85304628911. The reversal of 85304628864 is 46882640358.

85304628864 is a `hidden beast` number, since 8 + 5 + 3 + 0 + 4 + 628 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85304628864.

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 95 ways as a sum of consecutive naturals, for example, 382531857 + ... + 382532079.

It is an arithmetic number, because the mean of its divisors is an integer number (409336200).

Almost surely, 2^85304628864 is an apocalyptic number.

85304628864 is a gapful number since it is divisible by the number (84) 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 85304628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157185100800).

85304628864 is an abundant number, since it is smaller than the sum of its proper divisors (229065572736).

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

85304628864 is a wasteful number, since it uses less digits than its factorization.

85304628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 85304628864 in words is "eighty-five billion, three hundred four million, six hundred twenty-eight thousand, eight hundred sixty-four".