11226155160000 has 560 divisors, whose sum is σ = 40694918457600. Its totient is φ = 2707752960000.

The previous prime is 11226155159983. The next prime is 11226155160079. The reversal of 11226155160000 is 6155162211.

11226155160000 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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11226155160000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 262658632 + ... + 262701368.

Almost surely, 2^{11226155160000} is an apocalyptic number.

11226155160000 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 11226155160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347459228800).

11226155160000 is an abundant number, since it is smaller than the sum of its proper divisors (29468763297600).

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

11226155160000 is a wasteful number, since it uses less digits than its factorization.

11226155160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42982 (or 42957 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 11226155160000 in words is "eleven trillion, two hundred twenty-six billion, one hundred fifty-five million, one hundred sixty thousand".