11380676780 has 72 divisors (see below), whose sum is σ = 26386610544. Its totient is φ = 4119998080.

The previous prime is 11380676771. The next prime is 11380676821. The reversal of 11380676780 is 8767608311.

11380676780 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 23 ways as a sum of consecutive naturals, for example, 538982 + ... + 559698.

It is an arithmetic number, because the mean of its divisors is an integer number (366480702).

Almost surely, 2^11380676780 is an apocalyptic number.

11380676780 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 11380676780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193305272).

11380676780 is an abundant number, since it is smaller than the sum of its proper divisors (15005933764).

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

11380676780 is a wasteful number, since it uses less digits than its factorization.

11380676780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20975 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 11380676780 in words is "eleven billion, three hundred eighty million, six hundred seventy-six thousand, seven hundred eighty".