11550040505000 has 160 divisors (see below), whose sum is σ = 27924204175560. Its totient is φ = 4474421760000.

The previous prime is 11550040504931. The next prime is 11550040505009. The reversal of 11550040505000 is 50504005511.

It can be written as a sum of positive squares in 20 ways, for example, as 10347197490436 + 1202843014564 = 3216706^2 + 1096742^2 .

It is not an unprimeable number, because it can be changed into a prime (11550040505009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27879374 + ... + 28290626.

Almost surely, 2^{11550040505000} is an apocalyptic number.

11550040505000 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 11550040505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962102087780).

11550040505000 is an abundant number, since it is smaller than the sum of its proper divisors (16374163670560).

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

11550040505000 is a wasteful number, since it uses less digits than its factorization.

11550040505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411457 (or 411438 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The spelling of 11550040505000 in words is "eleven trillion, five hundred fifty billion, forty million, five hundred five thousand".