87584200704 has 1152 divisors, whose sum is σ = 350298224640. Its totient is φ = 20348928000.

The previous prime is 87584200673. The next prime is 87584200723. The reversal of 87584200704 is 40700248578.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 87584200704.

It is a congruent number.

It is an unprimeable number.

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, 867170254 + ... + 867170354.

It is an arithmetic number, because the mean of its divisors is an integer number (304078320).

Almost surely, 2^87584200704 is an apocalyptic number.

87584200704 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87584200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175149112320).

87584200704 is an abundant number, since it is smaller than the sum of its proper divisors (262714023936).

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

87584200704 is a wasteful number, since it uses less digits than its factorization.

87584200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 87584200704 in words is "eighty-seven billion, five hundred eighty-four million, two hundred thousand, seven hundred four".