84551277168 has 200 divisors, whose sum is σ = 251336205120. Its totient is φ = 27428129280.

The previous prime is 84551277133. The next prime is 84551277203. The reversal of 84551277168 is 86177215548.

84551277168 is a `hidden beast` number, since 8 + 4 + 551 + 2 + 77 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (84551277133) and next prime (84551277203).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11021238 + ... + 11028906.

Almost surely, 2^84551277168 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 84551277168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125668102560).

84551277168 is an abundant number, since it is smaller than the sum of its proper divisors (166784927952).

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

84551277168 is a wasteful number, since it uses less digits than its factorization.

84551277168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7902 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 84551277168 in words is "eighty-four billion, five hundred fifty-one million, two hundred seventy-seven thousand, one hundred sixty-eight".