11796911280 has 1120 divisors, whose sum is σ = 53397439488. Its totient is φ = 2351462400.

The previous prime is 11796911261. The next prime is 11796911297. The reversal of 11796911280 is 8211969711.

It is a happy number.

11796911280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 223 ways as a sum of consecutive naturals, for example, 166153645 + ... + 166153715.

Almost surely, 2^11796911280 is an apocalyptic number.

11796911280 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 11796911280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26698719744).

11796911280 is an abundant number, since it is smaller than the sum of its proper divisors (41600528208).

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

11796911280 is a wasteful number, since it uses less digits than its factorization.

11796911280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 11796911280 in words is "eleven billion, seven hundred ninety-six million, nine hundred eleven thousand, two hundred eighty".