10884040979328 has 384 divisors, whose sum is σ = 35476757447040. Its totient is φ = 3294091929600.

The previous prime is 10884040979269. The next prime is 10884040979351. The reversal of 10884040979328 is 82397904048801.

10884040979328 is a `hidden beast` number, since 1 + 0 + 88 + 40 + 409 + 7 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280880851 + ... + 280919597.

It is an arithmetic number, because the mean of its divisors is an integer number (92387389185).

Almost surely, 2^{10884040979328} is an apocalyptic number.

10884040979328 is a gapful number since it is divisible by the number (18) 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 10884040979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738378723520).

10884040979328 is an abundant number, since it is smaller than the sum of its proper divisors (24592716467712).

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

10884040979328 is an equidigital number, since it uses as much as digits as its factorization.

10884040979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39608 (or 39584 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 10884040979328 in words is "ten trillion, eight hundred eighty-four billion, forty million, nine hundred seventy-nine thousand, three hundred twenty-eight".