11505542000000 has 112 divisors (see below), whose sum is σ = 28651134432660. Its totient is φ = 4602216000000.

The previous prime is 11505541999951. The next prime is 11505542000083. The reversal of 11505542000000 is 24550511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11505542000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 876386 + ... + 4876385.

Almost surely, 2^{11505542000000} is an apocalyptic number.

11505542000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505542000000 is an abundant number, since it is smaller than the sum of its proper divisors (17145592432660).

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

11505542000000 is an frugal number, since it uses more digits than its factorization.

11505542000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752815 (or 5752778 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 11505542000000 its reverse (24550511), we get a palindrome (11505566550511).

The spelling of 11505542000000 in words is "eleven trillion, five hundred five billion, five hundred forty-two million", and thus it is an aban number.