11780427120 has 480 divisors, whose sum is σ = 48792948480. Its totient is φ = 2318561280.

The previous prime is 11780427089. The next prime is 11780427167. The reversal of 11780427120 is 2172408711.

11780427120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2455444 + ... + 2460236.

It is an arithmetic number, because the mean of its divisors is an integer number (101651976).

Almost surely, 2^11780427120 is an apocalyptic number.

11780427120 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 11780427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24396474240).

11780427120 is an abundant number, since it is smaller than the sum of its proper divisors (37012521360).

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

11780427120 is a wasteful number, since it uses less digits than its factorization.

11780427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 11780427120 in words is "eleven billion, seven hundred eighty million, four hundred twenty-seven thousand, one hundred twenty".