84999109568832 has 1120 divisors, whose sum is σ = 289228084992000. Its totient is φ = 24518093783040.

The previous prime is 84999109568759. The next prime is 84999109568837. The reversal of 84999109568832 is 23886590199948.

84999109568832 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 9 + 10 + 9 + 568 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84999109568837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7804522107 + ... + 7804532997.

It is an arithmetic number, because the mean of its divisors is an integer number (258239361600).

Almost surely, 2^{84999109568832} 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 84999109568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144614042496000).

84999109568832 is an abundant number, since it is smaller than the sum of its proper divisors (204228975423168).

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

84999109568832 is a wasteful number, since it uses less digits than its factorization.

84999109568832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11089 (or 11070 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 81.

The spelling of 84999109568832 in words is "eighty-four trillion, nine hundred ninety-nine billion, one hundred nine million, five hundred sixty-eight thousand, eight hundred thirty-two".