11721761376 has 96 divisors (see below), whose sum is σ = 33509155680. Its totient is φ = 3566137344.

The previous prime is 11721761353. The next prime is 11721761449. The reversal of 11721761376 is 67316712711.

It is a happy number.

11721761376 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 58306 + ... + 163838.

It is an arithmetic number, because the mean of its divisors is an integer number (349053705).

Almost surely, 2^11721761376 is an apocalyptic number.

11721761376 is a gapful number since it is divisible by the number (16) 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 11721761376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754577840).

11721761376 is an abundant number, since it is smaller than the sum of its proper divisors (21787394304).

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

11721761376 is a wasteful number, since it uses less digits than its factorization.

11721761376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105648 (or 105640 counting only the distinct ones).

The product of its digits is 74088, while the sum is 42.

The spelling of 11721761376 in words is "eleven billion, seven hundred twenty-one million, seven hundred sixty-one thousand, three hundred seventy-six".