11341538611200 has 3744 divisors, whose sum is σ = 53238092544000. Its totient is φ = 2333367336960.

The previous prime is 11341538611121. The next prime is 11341538611217. The reversal of 11341538611200 is 211683514311.

11341538611200 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 5 + 38 + 611 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76117708726 + ... + 76117708874.

It is an arithmetic number, because the mean of its divisors is an integer number (14219576000).

Almost surely, 2^{11341538611200} is an apocalyptic number.

11341538611200 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 11341538611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619046272000).

11341538611200 is an abundant number, since it is smaller than the sum of its proper divisors (41896553932800).

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

11341538611200 is a wasteful number, since it uses less digits than its factorization.

11341538611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11341538611200 in words is "eleven trillion, three hundred forty-one billion, five hundred thirty-eight million, six hundred eleven thousand, two hundred".