10988916480 has 216 divisors, whose sum is σ = 38125611888. Its totient is φ = 2922283008.

The previous prime is 10988916383. The next prime is 10988916481. The reversal of 10988916480 is 8461988901.

10988916480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10988916481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4987059 + ... + 4989261.

Almost surely, 2^10988916480 is an apocalyptic number.

10988916480 is a gapful number since it is divisible by the number (10) 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 10988916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062805944).

10988916480 is an abundant number, since it is smaller than the sum of its proper divisors (27136695408).

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

10988916480 is a wasteful number, since it uses less digits than its factorization.

10988916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 10988916480 in words is "ten billion, nine hundred eighty-eight million, nine hundred sixteen thousand, four hundred eighty".