11115289281600 has 1617 divisors, whose sum is σ = 47863149395557. Its totient is φ = 2540637550080.

The previous prime is 11115289281589. The next prime is 11115289281601. The reversal of 11115289281600 is 618298251111.

The square root of 11115289281600 is 3333960.

It is a perfect power (a square), and thus also a powerful number.

11115289281600 is a `hidden beast` number, since 1 + 1 + 1 + 15 + 2 + 8 + 9 + 28 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4001504141376 + 7113785140224 = 2000376^2 + 2667168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11115289281601) by changing a digit.

It is a polite number, since it can be written in 230 ways as a sum of consecutive naturals, for example, 1587898468797 + ... + 1587898468803.

Almost surely, 2^{11115289281600} is an apocalyptic number.

11115289281600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11115289281600 is the 3333960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11115289281600

11115289281600 is an abundant number, since it is smaller than the sum of its proper divisors (36747860113957).

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

11115289281600 is an frugal number, since it uses more digits than its factorization.

11115289281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

Multiplying 11115289281600 by its sum of digits (45), we get a cube (500188017672000 = 79380³).

The spelling of 11115289281600 in words is "eleven trillion, one hundred fifteen billion, two hundred eighty-nine million, two hundred eighty-one thousand, six hundred".