11771079840 has 576 divisors, whose sum is σ = 46617742080. Its totient is φ = 2767564800.

The previous prime is 11771079833. The next prime is 11771079857. The reversal of 11771079840 is 4897017711.

11771079840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 16791490 + ... + 16792190.

It is an arithmetic number, because the mean of its divisors is an integer number (80933580).

Almost surely, 2^11771079840 is an apocalyptic number.

11771079840 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 11771079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308871040).

11771079840 is an abundant number, since it is smaller than the sum of its proper divisors (34846662240).

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

11771079840 is a wasteful number, since it uses less digits than its factorization.

11771079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 11771079840 in words is "eleven billion, seven hundred seventy-one million, seventy-nine thousand, eight hundred forty".