11505054106000 has 160 divisors (see below), whose sum is σ = 34239041561088. Its totient is φ = 3641159923200.

The previous prime is 11505054105991. The next prime is 11505054106031. The reversal of 11505054106000 is 60145050511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11505054106000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31425292 + ... + 31789291.

Almost surely, 2^{11505054106000} is an apocalyptic number.

11505054106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505054106000 is an abundant number, since it is smaller than the sum of its proper divisors (22733987455088).

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

11505054106000 is a wasteful number, since it uses less digits than its factorization.

11505054106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63214626 (or 63214610 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 11505054106000 its reverse (60145050511), we get a palindrome (11565199156511).

The spelling of 11505054106000 in words is "eleven trillion, five hundred five billion, fifty-four million, one hundred six thousand".