11068125314400 has 2304 divisors, whose sum is σ = 52283953612800. Its totient is φ = 2219780505600.

The previous prime is 11068125314293. The next prime is 11068125314431. The reversal of 11068125314400 is 441352186011.

11068125314400 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 81 + 2 + 531 + 4 + 40 + 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 383 ways as a sum of consecutive naturals, for example, 3906855384 + ... + 3906858216.

It is an arithmetic number, because the mean of its divisors is an integer number (22692688200).

Almost surely, 2^{11068125314400} is an apocalyptic number.

11068125314400 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 11068125314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26141976806400).

11068125314400 is an abundant number, since it is smaller than the sum of its proper divisors (41215828298400).

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

11068125314400 is a wasteful number, since it uses less digits than its factorization.

11068125314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11068125314400 in words is "eleven trillion, sixty-eight billion, one hundred twenty-five million, three hundred fourteen thousand, four hundred".