87118651017216 has 576 divisors, whose sum is σ = 310886096976000. Its totient is φ = 22886832144384.

The previous prime is 87118651017193. The next prime is 87118651017221. The reversal of 87118651017216 is 61271015681178.

87118651017216 is a `hidden beast` number, since 8 + 7 + 11 + 86 + 510 + 17 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430968135 + ... + 431170233.

It is an arithmetic number, because the mean of its divisors is an integer number (539732807250).

Almost surely, 2^{87118651017216} 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 87118651017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155443048488000).

87118651017216 is an abundant number, since it is smaller than the sum of its proper divisors (223767445958784).

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

87118651017216 is a wasteful number, since it uses less digits than its factorization.

87118651017216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202404 (or 202381 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 87118651017216 in words is "eighty-seven trillion, one hundred eighteen billion, six hundred fifty-one million, seventeen thousand, two hundred sixteen".