11162060510400 has 504 divisors, whose sum is σ = 40009424232960. Its totient is φ = 2951334328320.

The previous prime is 11162060510351. The next prime is 11162060510437. The reversal of 11162060510400 is 401506026111.

11162060510400 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 2 + 0 + 605 + 10 + 40 + 0 = 666.

It is a super-3 number, since 3×11162060510400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1775416057 + ... + 1775422343.

It is an arithmetic number, because the mean of its divisors is an integer number (79383778240).

Almost surely, 2^{11162060510400} is an apocalyptic number.

11162060510400 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 11162060510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004712116480).

11162060510400 is an abundant number, since it is smaller than the sum of its proper divisors (28847363722560).

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

11162060510400 is a wasteful number, since it uses less digits than its factorization.

11162060510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11162060510400 its reverse (401506026111), we get a palindrome (11563566536511).

The spelling of 11162060510400 in words is "eleven trillion, one hundred sixty-two billion, sixty million, five hundred ten thousand, four hundred".