84213955584 has 396 divisors, whose sum is σ = 277280020472. Its totient is φ = 25510256640.

The previous prime is 84213955571. The next prime is 84213955601. The reversal of 84213955584 is 48555931248.

84213955584 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 3 + 9 + 55 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84213955584.

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 35 ways as a sum of consecutive naturals, for example, 30107274 + ... + 30110070.

Almost surely, 2^84213955584 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 84213955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138640010236).

84213955584 is an abundant number, since it is smaller than the sum of its proper divisors (193066064888).

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

84213955584 is a wasteful number, since it uses less digits than its factorization.

84213955584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2813 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 84213955584 in words is "eighty-four billion, two hundred thirteen million, nine hundred fifty-five thousand, five hundred eighty-four".