8711561952 has 288 divisors, whose sum is σ = 26568622080. Its totient is φ = 2702730240.

The previous prime is 8711561941. The next prime is 8711561953. The reversal of 8711561952 is 2591651178.

8711561952 is a `hidden beast` number, since 87 + 1 + 1 + 561 + 9 + 5 + 2 = 666.

8711561952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 8711561898 and 8711561907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8711561953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45610177 + ... + 45610367.

It is an arithmetic number, because the mean of its divisors is an integer number (92252160).

Almost surely, 2^8711561952 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 8711561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284311040).

8711561952 is an abundant number, since it is smaller than the sum of its proper divisors (17857060128).

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

8711561952 is a wasteful number, since it uses less digits than its factorization.

8711561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 8711561952 is about 93335.7485211320. The cubic root of 8711561952 is about 2057.6208080594.

The spelling of 8711561952 in words is "eight billion, seven hundred eleven million, five hundred sixty-one thousand, nine hundred fifty-two".