87189682608 has 160 divisors (see below), whose sum is σ = 287039723520. Its totient is φ = 24822443520.

The previous prime is 87189682571. The next prime is 87189682631. The reversal of 87189682608 is 80628698178.

87189682608 is a `hidden beast` number, since 8 + 7 + 18 + 9 + 6 + 8 + 2 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798441 + ... + 901047.

It is an arithmetic number, because the mean of its divisors is an integer number (1793998272).

Almost surely, 2^87189682608 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 87189682608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143519861760).

87189682608 is an abundant number, since it is smaller than the sum of its proper divisors (199850040912).

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

87189682608 is a wasteful number, since it uses less digits than its factorization.

87189682608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102912 (or 102900 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

It can be divided in two parts, 8718968 and 2608, that added together give a triangular number (8721576 = T₄₁₇₆).

The spelling of 87189682608 in words is "eighty-seven billion, one hundred eighty-nine million, six hundred eighty-two thousand, six hundred eight".