10984879488 has 384 divisors, whose sum is σ = 35293305600. Its totient is φ = 3010867200.

The previous prime is 10984879471. The next prime is 10984879501. The reversal of 10984879488 is 88497848901.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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, 20304498 + ... + 20305038.

It is an arithmetic number, because the mean of its divisors is an integer number (91909650).

Almost surely, 2^10984879488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10984879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646652800).

10984879488 is an abundant number, since it is smaller than the sum of its proper divisors (24308426112).

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

10984879488 is a wasteful number, since it uses less digits than its factorization.

10984879488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 66.

The spelling of 10984879488 in words is "ten billion, nine hundred eighty-four million, eight hundred seventy-nine thousand, four hundred eighty-eight".