11745824776 has 128 divisors (see below), whose sum is σ = 26913484800. Its totient is φ = 4694215680.

The previous prime is 11745824749. The next prime is 11745824777. The reversal of 11745824776 is 67742854711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11745824777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25368721 + ... + 25369183.

It is an arithmetic number, because the mean of its divisors is an integer number (210261600).

Almost surely, 2^11745824776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11745824776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456742400).

11745824776 is an abundant number, since it is smaller than the sum of its proper divisors (15167660024).

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

11745824776 is a wasteful number, since it uses less digits than its factorization.

11745824776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 815 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 52.

The spelling of 11745824776 in words is "eleven billion, seven hundred forty-five million, eight hundred twenty-four thousand, seven hundred seventy-six".