10971095616 has 168 divisors, whose sum is σ = 34003375224. Its totient is φ = 3361996800.

The previous prime is 10971095567. The next prime is 10971095651. The reversal of 10971095616 is 61659017901.

10971095616 is a `hidden beast` number, since 10 + 9 + 7 + 10 + 9 + 5 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4774257216 + 6196838400 = 69096^2 + 78720^2 .

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, 1921566 + ... + 1927266.

It is an arithmetic number, because the mean of its divisors is an integer number (202401043).

Almost surely, 2^10971095616 is an apocalyptic number.

10971095616 is a gapful number since it is divisible by the number (16) 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 10971095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001687612).

10971095616 is an abundant number, since it is smaller than the sum of its proper divisors (23032279608).

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

10971095616 is a wasteful number, since it uses less digits than its factorization.

10971095616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 10971095616 in words is "ten billion, nine hundred seventy-one million, ninety-five thousand, six hundred sixteen".