87709565016 has 96 divisors (see below), whose sum is σ = 246755761200. Its totient is φ = 29223463824.

The previous prime is 87709564997. The next prime is 87709565089. The reversal of 87709565016 is 61056590778.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

87709565016 is a `hidden beast` number, since 8 + 7 + 70 + 9 + 565 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39172425 + ... + 39174663.

Almost surely, 2^87709565016 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 87709565016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123377880600).

87709565016 is an abundant number, since it is smaller than the sum of its proper divisors (159046196184).

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

87709565016 is an frugal number, since it uses more digits than its factorization.

87709565016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

Multiplying 87709565016 by its sum of digits (54), we get a square (4736316510864 = 2176308²).

87709565016 divided by its sum of digits (54) gives a square (1624251204 = 40302²).

The spelling of 87709565016 in words is "eighty-seven billion, seven hundred nine million, five hundred sixty-five thousand, sixteen".