10971788256 has 756 divisors, whose sum is σ = 40223020824. Its totient is φ = 2935595520.

The previous prime is 10971788227. The next prime is 10971788339. The reversal of 10971788256 is 65288717901.

10971788256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 125 ways as a sum of consecutive naturals, for example, 477034261 + ... + 477034283.

It is an arithmetic number, because the mean of its divisors is an integer number (53205054).

Almost surely, 2^10971788256 is an apocalyptic number.

10971788256 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 10971788256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20111510412).

10971788256 is an abundant number, since it is smaller than the sum of its proper divisors (29251232568).

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

10971788256 is a wasteful number, since it uses less digits than its factorization.

10971788256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 10971788256 in words is "ten billion, nine hundred seventy-one million, seven hundred eighty-eight thousand, two hundred fifty-six".