11783649480 has 256 divisors, whose sum is σ = 37073203200. Its totient is φ = 2994001920.

The previous prime is 11783649473. The next prime is 11783649491. The reversal of 11783649480 is 8494638711.

11783649480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 55846575 + ... + 55846785.

It is an arithmetic number, because the mean of its divisors is an integer number (144817200).

Almost surely, 2^11783649480 is an apocalyptic number.

11783649480 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 11783649480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536601600).

11783649480 is an abundant number, since it is smaller than the sum of its proper divisors (25289553720).

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

11783649480 is a wasteful number, since it uses less digits than its factorization.

11783649480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 11783649480 in words is "eleven billion, seven hundred eighty-three million, six hundred forty-nine thousand, four hundred eighty".