87695983964160 has 3328 divisors, whose sum is σ = 382838690304000. Its totient is φ = 18751873351680.

The previous prime is 87695983964101. The next prime is 87695983964209. The reversal of 87695983964160 is 6146938959678.

87695983964160 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 598 + 3 + 9 + 6 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a self number, because there is not a number n which added to its sum of digits gives 87695983964160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 382951894926 + ... + 382951895154.

Almost surely, 2^{87695983964160} is an apocalyptic number.

87695983964160 is a gapful number since it is divisible by the number (80) 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 87695983964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191419345152000).

87695983964160 is an abundant number, since it is smaller than the sum of its proper divisors (295142706339840).

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

87695983964160 is a wasteful number, since it uses less digits than its factorization.

87695983964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 87695983964160 in words is "eighty-seven trillion, six hundred ninety-five billion, nine hundred eighty-three million, nine hundred sixty-four thousand, one hundred sixty".