11399712480 has 432 divisors, whose sum is σ = 42553077840. Its totient is φ = 2777628672.

The previous prime is 11399712449. The next prime is 11399712481. The reversal of 11399712480 is 8421799311.

11399712480 is a `hidden beast` number, since 1 + 13 + 99 + 71 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11399712481) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 33826872 + ... + 33827208.

It is an arithmetic number, because the mean of its divisors is an integer number (98502495).

Almost surely, 2^11399712480 is an apocalyptic number.

11399712480 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 11399712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21276538920).

11399712480 is an abundant number, since it is smaller than the sum of its proper divisors (31153365360).

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

11399712480 is a wasteful number, since it uses less digits than its factorization.

11399712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11399712480 in words is "eleven billion, three hundred ninety-nine million, seven hundred twelve thousand, four hundred eighty".