87089966208 has 640 divisors, whose sum is σ = 314750620800. Its totient is φ = 23350394880.

The previous prime is 87089966137. The next prime is 87089966239. The reversal of 87089966208 is 80266998078.

It is a super-2 number, since 2×87089966208² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 188915098 + ... + 188915558.

It is an arithmetic number, because the mean of its divisors is an integer number (491797845).

Almost surely, 2^87089966208 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 87089966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157375310400).

87089966208 is an abundant number, since it is smaller than the sum of its proper divisors (227660654592).

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

87089966208 is a wasteful number, since it uses less digits than its factorization.

87089966208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 87089966208 in words is "eighty-seven billion, eighty-nine million, nine hundred sixty-six thousand, two hundred eight".