87559668606396 has 192 divisors, whose sum is σ = 244139873402880. Its totient is φ = 23897276881920.

The previous prime is 87559668606331. The next prime is 87559668606413. The reversal of 87559668606396 is 69360686695578.

87559668606396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806969620 + ... + 807078116.

It is an arithmetic number, because the mean of its divisors is an integer number (1271561840640).

Almost surely, 2^{87559668606396} 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 87559668606396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122069936701440).

87559668606396 is an abundant number, since it is smaller than the sum of its proper divisors (156580204796484).

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

87559668606396 is a wasteful number, since it uses less digits than its factorization.

87559668606396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112544 (or 112542 counting only the distinct ones).

The product of its (nonzero) digits is 21163161600, while the sum is 84.

The spelling of 87559668606396 in words is "eighty-seven trillion, five hundred fifty-nine billion, six hundred sixty-eight million, six hundred six thousand, three hundred ninety-six".