11160413798400 has 1008 divisors, whose sum is σ = 42066215812530. Its totient is φ = 2935341711360.

The previous prime is 11160413798363. The next prime is 11160413798407. The reversal of 11160413798400 is 489731406111.

11160413798400 is a `hidden beast` number, since 1 + 1 + 1 + 604 + 1 + 37 + 9 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8588932153344 + 2571481645056 = 2930688^2 + 1603584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11160413798407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 152882380764 + ... + 152882380836.

Almost surely, 2^{11160413798400} is an apocalyptic number.

11160413798400 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 11160413798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033107906265).

11160413798400 is an abundant number, since it is smaller than the sum of its proper divisors (30905802014130).

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

11160413798400 is an frugal number, since it uses more digits than its factorization.

11160413798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11160413798400 in words is "eleven trillion, one hundred sixty billion, four hundred thirteen million, seven hundred ninety-eight thousand, four hundred".