11193051227904 has 1296 divisors, whose sum is σ = 43806964192992. Its totient is φ = 2713492389888.

The previous prime is 11193051227893. The next prime is 11193051227951. The reversal of 11193051227904 is 40972215039111.

11193051227904 is a `hidden beast` number, since 1 + 1 + 19 + 30 + 512 + 2 + 7 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11193051227904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1072845472 + ... + 1072855904.

It is an arithmetic number, because the mean of its divisors is an integer number (33801669902).

Almost surely, 2^{11193051227904} is an apocalyptic number.

11193051227904 is a gapful number since it is divisible by the number (14) 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 11193051227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903482096496).

11193051227904 is an abundant number, since it is smaller than the sum of its proper divisors (32613912965088).

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

11193051227904 is a wasteful number, since it uses less digits than its factorization.

11193051227904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10542 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11193051227904 in words is "eleven trillion, one hundred ninety-three billion, fifty-one million, two hundred twenty-seven thousand, nine hundred four".