84585578896 has 405 divisors, whose sum is σ = 224056513539. Its totient is φ = 30823962624.

The previous prime is 84585578881. The next prime is 84585578921. The reversal of 84585578896 is 69887558548.

The square root of 84585578896 is 290836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 763748496 + 83821830400 = 27636^2 + 289520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1799693145 + ... + 1799693191.

Almost surely, 2^84585578896 is an apocalyptic number.

84585578896 is the 290836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84585578896

84585578896 is an abundant number, since it is smaller than the sum of its proper divisors (139470934643).

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

84585578896 is a wasteful number, since it uses less digits than its factorization.

84585578896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 73.

The spelling of 84585578896 in words is "eighty-four billion, five hundred eighty-five million, five hundred seventy-eight thousand, eight hundred ninety-six".