11541255142200 has 384 divisors, whose sum is σ = 41115368448000. Its totient is φ = 2623433080320.

The previous prime is 11541255142199. The next prime is 11541255142327. The reversal of 11541255142200 is 224155214511.

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, 661646679 + ... + 661664121.

It is an arithmetic number, because the mean of its divisors is an integer number (107071272000).

Almost surely, 2^{11541255142200} is an apocalyptic number.

11541255142200 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 11541255142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557684224000).

11541255142200 is an abundant number, since it is smaller than the sum of its proper divisors (29574113305800).

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

11541255142200 is a wasteful number, since it uses less digits than its factorization.

11541255142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18331 (or 18322 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 11541255142200 in words is "eleven trillion, five hundred forty-one billion, two hundred fifty-five million, one hundred forty-two thousand, two hundred".