11119764480 has 528 divisors, whose sum is σ = 40563220992. Its totient is φ = 2595225600.

The previous prime is 11119764479. The next prime is 11119764499. The reversal of 11119764480 is 8446791111.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57615264 + ... + 57615456.

Almost surely, 2^11119764480 is an apocalyptic number.

11119764480 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 11119764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281610496).

11119764480 is an abundant number, since it is smaller than the sum of its proper divisors (29443456512).

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

11119764480 is a wasteful number, since it uses less digits than its factorization.

11119764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 11119764480 in words is "eleven billion, one hundred nineteen million, seven hundred sixty-four thousand, four hundred eighty".