87066227688 has 128 divisors (see below), whose sum is σ = 241638819840. Its totient is φ = 25919712000.

The previous prime is 87066227683. The next prime is 87066227707. The reversal of 87066227688 is 88672266078.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87066227683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15569773 + ... + 15575363.

It is an arithmetic number, because the mean of its divisors is an integer number (1887803280).

Almost surely, 2^87066227688 is an apocalyptic number.

87066227688 is a gapful number since it is divisible by the number (88) 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 87066227688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120819409920).

87066227688 is an abundant number, since it is smaller than the sum of its proper divisors (154572592152).

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

87066227688 is a wasteful number, since it uses less digits than its factorization.

87066227688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 87066227688 in words is "eighty-seven billion, sixty-six million, two hundred twenty-seven thousand, six hundred eighty-eight".