8561967516 has 192 divisors, whose sum is σ = 24324572160. Its totient is φ = 2593658880.

The previous prime is 8561967497. The next prime is 8561967517. The reversal of 8561967516 is 6157691658.

8561967516 is a `hidden beast` number, since 8 + 5 + 61 + 9 + 67 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8561967517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8054001 + ... + 8055063.

It is an arithmetic number, because the mean of its divisors is an integer number (126690480).

Almost surely, 2^8561967516 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 8561967516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162286080).

8561967516 is an abundant number, since it is smaller than the sum of its proper divisors (15762604644).

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

8561967516 is a wasteful number, since it uses less digits than its factorization.

8561967516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 8561967516 is about 92530.9003306463. The cubic root of 8561967516 is about 2045.7749599840.

The spelling of 8561967516 in words is "eight billion, five hundred sixty-one million, nine hundred sixty-seven thousand, five hundred sixteen".