11792640000 has 480 divisors, whose sum is σ = 40834553760. Its totient is φ = 3022848000.

The previous prime is 11792639923. The next prime is 11792640007. The reversal of 11792640000 is 4629711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11792640000.

It is not an unprimeable number, because it can be changed into a prime (11792640007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142079959 + ... + 142080041.

It is an arithmetic number, because the mean of its divisors is an integer number (85071987).

Almost surely, 2^11792640000 is an apocalyptic number.

11792640000 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 11792640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417276880).

11792640000 is an abundant number, since it is smaller than the sum of its proper divisors (29041913760).

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

11792640000 is an frugal number, since it uses more digits than its factorization.

11792640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 11792640000 in words is "eleven billion, seven hundred ninety-two million, six hundred forty thousand".