10971110304 has 288 divisors, whose sum is σ = 40154849280. Its totient is φ = 2757542400.

The previous prime is 10971110303. The next prime is 10971110309. The reversal of 10971110304 is 40301117901.

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

It is a super-2 number, since 2×10971110304² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10971110303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679477 + ... + 695435.

It is an arithmetic number, because the mean of its divisors is an integer number (139426560).

Almost surely, 2^10971110304 is an apocalyptic number.

10971110304 is a gapful number since it is divisible by the number (14) 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 10971110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640).

10971110304 is an abundant number, since it is smaller than the sum of its proper divisors (29183738976).

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

10971110304 is a wasteful number, since it uses less digits than its factorization.

10971110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10971110304 in words is "ten billion, nine hundred seventy-one million, one hundred ten thousand, three hundred four".