11189687250040 has 192 divisors, whose sum is σ = 27687561523200. Its totient is φ = 4067455182336.

The previous prime is 11189687250017. The next prime is 11189687250059. The reversal of 11189687250040 is 4005278698111.

11189687250040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 11189687250040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185281689 + ... + 185342071.

It is an arithmetic number, because the mean of its divisors is an integer number (144206049600).

Almost surely, 2^{11189687250040} is an apocalyptic number.

11189687250040 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 11189687250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843780761600).

11189687250040 is an abundant number, since it is smaller than the sum of its proper divisors (16497874273160).

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

11189687250040 is a wasteful number, since it uses less digits than its factorization.

11189687250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60846 (or 60829 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 52.

The spelling of 11189687250040 in words is "eleven trillion, one hundred eighty-nine billion, six hundred eighty-seven million, two hundred fifty thousand, forty".