11204776117200 has 480 divisors, whose sum is σ = 38118703104000. Its totient is φ = 2805480437760.

The previous prime is 11204776117193. The next prime is 11204776117229. The reversal of 11204776117200 is 271167740211.

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, 4670601601 + ... + 4670603999.

It is an arithmetic number, because the mean of its divisors is an integer number (79413964800).

Almost surely, 2^{11204776117200} is an apocalyptic number.

11204776117200 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 11204776117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059351552000).

11204776117200 is an abundant number, since it is smaller than the sum of its proper divisors (26913926986800).

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

11204776117200 is a wasteful number, since it uses less digits than its factorization.

11204776117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 11204776117200 in words is "eleven trillion, two hundred four billion, seven hundred seventy-six million, one hundred seventeen thousand, two hundred".