84864555072 has 672 divisors, whose sum is σ = 293737466880. Its totient is φ = 23148195840.

The previous prime is 84864555011. The next prime is 84864555079. The reversal of 84864555072 is 27055546848.

84864555072 is a `hidden beast` number, since 8 + 4 + 86 + 4 + 5 + 550 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (84864555079) 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 95 ways as a sum of consecutive naturals, for example, 181722583 + ... + 181723049.

Almost surely, 2^84864555072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84864555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146868733440).

84864555072 is an abundant number, since it is smaller than the sum of its proper divisors (208872911808).

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

84864555072 is a wasteful number, since it uses less digits than its factorization.

84864555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

It can be divided in two parts, 84864 and 555072, that added together give a palindrome (639936).

The spelling of 84864555072 in words is "eighty-four billion, eight hundred sixty-four million, five hundred fifty-five thousand, seventy-two".