11692800000000 has 1620 divisors, whose sum is σ = 49918451004240. Its totient is φ = 2580480000000.

The previous prime is 11692799999983. The next prime is 11692800000001. The reversal of 11692800000000 is 829611.

It is a self number, because there is not a number n which added to its sum of digits gives 11692800000000.

It is not an unprimeable number, because it can be changed into a prime (11692800000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 403199999986 + ... + 403200000014.

Almost surely, 2^{11692800000000} is an apocalyptic number.

11692800000000 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 11692800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24959225502120).

11692800000000 is an abundant number, since it is smaller than the sum of its proper divisors (38225651004240).

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

11692800000000 is an frugal number, since it uses more digits than its factorization.

11692800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 11692800000000 its reverse (829611), we get a palindrome (11692800829611).

The spelling of 11692800000000 in words is "eleven trillion, six hundred ninety-two billion, eight hundred million", and thus it is an aban number.