11862267760 has 80 divisors (see below), whose sum is σ = 31559355072. Its totient is φ = 4061952000.

The previous prime is 11862267743. The next prime is 11862267761. The reversal of 11862267760 is 6776226811.

It is a happy number.

11862267760 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11862267760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11862267761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 446860 + ... + 472660.

Almost surely, 2^11862267760 is an apocalyptic number.

11862267760 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 11862267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779677536).

11862267760 is an abundant number, since it is smaller than the sum of its proper divisors (19697087312).

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

11862267760 is a wasteful number, since it uses less digits than its factorization.

11862267760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26642 (or 26636 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 11862267760 in words is "eleven billion, eight hundred sixty-two million, two hundred sixty-seven thousand, seven hundred sixty".