8187217056 has 144 divisors (see below), whose sum is σ = 24084103680. Its totient is φ = 2635476480.

The previous prime is 8187217039. The next prime is 8187217079. The reversal of 8187217056 is 6507127818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7490046 + ... + 7491138.

It is an arithmetic number, because the mean of its divisors is an integer number (167250720).

Almost surely, 2^8187217056 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 8187217056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12042051840).

8187217056 is an abundant number, since it is smaller than the sum of its proper divisors (15896886624).

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

8187217056 is a wasteful number, since it uses less digits than its factorization.

8187217056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 8187217056 is about 90483.2418517374. The cubic root of 8187217056 is about 2015.4812771623.

The spelling of 8187217056 in words is "eight billion, one hundred eighty-seven million, two hundred seventeen thousand, fifty-six".