11820782178260 has 96 divisors (see below), whose sum is σ = 27368050469760. Its totient is φ = 4252992307200.

The previous prime is 11820782178253. The next prime is 11820782178299. The reversal of 11820782178260 is 6287128702811.

11820782178260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9103796 + ... + 10320884.

It is an arithmetic number, because the mean of its divisors is an integer number (285083859060).

Almost surely, 2^{11820782178260} is an apocalyptic number.

11820782178260 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 11820782178260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684025234880).

11820782178260 is an abundant number, since it is smaller than the sum of its proper divisors (15547268291500).

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

11820782178260 is a wasteful number, since it uses less digits than its factorization.

11820782178260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217577 (or 1217575 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 53.

The spelling of 11820782178260 in words is "eleven trillion, eight hundred twenty billion, seven hundred eighty-two million, one hundred seventy-eight thousand, two hundred sixty".