11125563212736 has 1792 divisors, whose sum is σ = 40909524480000. Its totient is φ = 2995763097600.

The previous prime is 11125563212713. The next prime is 11125563212747. The reversal of 11125563212736 is 63721236552111.

11125563212736 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 5 + 632 + 1 + 2 + 7 + 3 + 6 = 666.

11125563212736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11125563212691 and 11125563212700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84927963391 + ... + 84927963521.

Almost surely, 2^{11125563212736} is an apocalyptic number.

11125563212736 is a gapful number since it is divisible by the number (16) 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 11125563212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20454762240000).

11125563212736 is an abundant number, since it is smaller than the sum of its proper divisors (29783961267264).

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

11125563212736 is an frugal number, since it uses more digits than its factorization.

11125563212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 233 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

Adding to 11125563212736 its reverse (63721236552111), we get a palindrome (74846799764847).

The spelling of 11125563212736 in words is "eleven trillion, one hundred twenty-five billion, five hundred sixty-three million, two hundred twelve thousand, seven hundred thirty-six".