11150436839808 has 512 divisors, whose sum is σ = 36288290304000. Its totient is φ = 2962647097344.

The previous prime is 11150436839807. The next prime is 11150436839831. The reversal of 11150436839808 is 80893863405111.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11150436839807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2401556335 + ... + 2401560977.

It is an arithmetic number, because the mean of its divisors is an integer number (70875567000).

Almost surely, 2^{11150436839808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11150436839808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144145152000).

11150436839808 is an abundant number, since it is smaller than the sum of its proper divisors (25137853464192).

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

11150436839808 is a wasteful number, since it uses less digits than its factorization.

11150436839808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 11150436839808 in words is "eleven trillion, one hundred fifty billion, four hundred thirty-six million, eight hundred thirty-nine thousand, eight hundred eight".