87666561792000 has 2304 divisors, whose sum is σ = 365314685299200. Its totient is φ = 20839779532800.

The previous prime is 87666561791953. The next prime is 87666561792071. The reversal of 87666561792000 is 29716566678.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20093181819 + ... + 20093186181.

It is an arithmetic number, because the mean of its divisors is an integer number (158556721050).

Almost surely, 2^{87666561792000} is an apocalyptic number.

87666561792000 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 87666561792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182657342649600).

87666561792000 is an abundant number, since it is smaller than the sum of its proper divisors (277648123507200).

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

87666561792000 is a wasteful number, since it uses less digits than its factorization.

87666561792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 87666561792000 in words is "eighty-seven trillion, six hundred sixty-six billion, five hundred sixty-one million, seven hundred ninety-two thousand".