87352166916 has 243 divisors, whose sum is σ = 266584314087. Its totient is φ = 24046273440.

The previous prime is 87352166887. The next prime is 87352166939. The reversal of 87352166916 is 61966125378.

The square root of 87352166916 is 295554.

It is a perfect power (a square), and thus also a powerful number.

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

Its product of digits (3265920) is a multiple of the sum of its prime divisors (270).

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 80 ways as a sum of consecutive naturals, for example, 384811195 + ... + 384811421.

Almost surely, 2^87352166916 is an apocalyptic number.

87352166916 is the 295554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87352166916

87352166916 is an abundant number, since it is smaller than the sum of its proper divisors (179232147171).

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

87352166916 is a wasteful number, since it uses less digits than its factorization.

87352166916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 87352166916 in words is "eighty-seven billion, three hundred fifty-two million, one hundred sixty-six thousand, nine hundred sixteen".