87008604776912 has 240 divisors, whose sum is σ = 215802096353280. Its totient is φ = 33240982694400.

The previous prime is 87008604776911. The next prime is 87008604776927. The reversal of 87008604776912 is 21967740680078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87008604776911) 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 47 ways as a sum of consecutive naturals, for example, 280907087 + ... + 281216657.

It is an arithmetic number, because the mean of its divisors is an integer number (899175401472).

Almost surely, 2^{87008604776912} 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 87008604776912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107901048176640).

87008604776912 is an abundant number, since it is smaller than the sum of its proper divisors (128793491576368).

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

87008604776912 is a wasteful number, since it uses less digits than its factorization.

87008604776912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310122 (or 310103 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 65.

The spelling of 87008604776912 in words is "eighty-seven trillion, eight billion, six hundred four million, seven hundred seventy-six thousand, nine hundred twelve".