11780933472 has 288 divisors, whose sum is σ = 43118659584. Its totient is φ = 2961100800.

The previous prime is 11780933467. The next prime is 11780933491. The reversal of 11780933472 is 27433908711.

11780933472 is a `hidden beast` number, since 1 + 17 + 80 + 93 + 3 + 472 = 666.

11780933472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 678888 + ... + 696024.

It is an arithmetic number, because the mean of its divisors is an integer number (149717568).

Almost surely, 2^11780933472 is an apocalyptic number.

11780933472 is a gapful number since it is divisible by the number (12) 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 11780933472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21559329792).

11780933472 is an abundant number, since it is smaller than the sum of its proper divisors (31337726112).

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

11780933472 is a wasteful number, since it uses less digits than its factorization.

11780933472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 17191 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11780933472 in words is "eleven billion, seven hundred eighty million, nine hundred thirty-three thousand, four hundred seventy-two".