8971562880 has 768 divisors, whose sum is σ = 38188800000. Its totient is φ = 1934585856.

The previous prime is 8971562879. The next prime is 8971562891. The reversal of 8971562880 is 882651798.

8971562880 is a `hidden beast` number, since 8 + 9 + 7 + 1 + 5 + 628 + 8 + 0 = 666.

8971562880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37537801 + ... + 37538039.

It is an arithmetic number, because the mean of its divisors is an integer number (49725000).

Almost surely, 2^8971562880 is an apocalyptic number.

8971562880 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 8971562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400000).

8971562880 is an abundant number, since it is smaller than the sum of its proper divisors (29217237120).

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

8971562880 is a wasteful number, since it uses less digits than its factorization.

8971562880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The square root of 8971562880 is about 94718.3344448159. The cubic root of 8971562880 is about 2077.8907118329.

The spelling of 8971562880 in words is "eight billion, nine hundred seventy-one million, five hundred sixty-two thousand, eight hundred eighty".