11254205133150 has 192 divisors, whose sum is σ = 32276974141440. Its totient is φ = 2541959280000.

The previous prime is 11254205133139. The next prime is 11254205133167. The reversal of 11254205133150 is 5133150245211.

11254205133150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33302731 + ... + 33638969.

It is an arithmetic number, because the mean of its divisors is an integer number (168109240320).

Almost surely, 2^{11254205133150} is an apocalyptic number.

11254205133150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11254205133150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138487070720).

11254205133150 is an abundant number, since it is smaller than the sum of its proper divisors (21022769008290).

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

11254205133150 is a wasteful number, since it uses less digits than its factorization.

11254205133150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336639 (or 336634 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 11254205133150 its reverse (5133150245211), we get a palindrome (16387355378361).

The spelling of 11254205133150 in words is "eleven trillion, two hundred fifty-four billion, two hundred five million, one hundred thirty-three thousand, one hundred fifty".