10968781824 has 1056 divisors, whose sum is σ = 45064131840. Its totient is φ = 2477260800.

The previous prime is 10968781819. The next prime is 10968781841. The reversal of 10968781824 is 42818786901.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267531244 + ... + 267531284.

Almost surely, 2^10968781824 is an apocalyptic number.

10968781824 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 10968781824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532065920).

10968781824 is an abundant number, since it is smaller than the sum of its proper divisors (34095350016).

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

10968781824 is a wasteful number, since it uses less digits than its factorization.

10968781824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 10968781824 in words is "ten billion, nine hundred sixty-eight million, seven hundred eighty-one thousand, eight hundred twenty-four".