11552124116736 has 360 divisors, whose sum is σ = 40637177247744. Its totient is φ = 3194134456320.

The previous prime is 11552124116719. The next prime is 11552124116789. The reversal of 11552124116736 is 63761142125511.

11552124116736 is a `hidden beast` number, since 1 + 1 + 5 + 521 + 2 + 4 + 116 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11552124116691 and 11552124116700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3216061 + ... + 5783363.

Almost surely, 2^{11552124116736} is an apocalyptic number.

11552124116736 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 11552124116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318588623872).

11552124116736 is an abundant number, since it is smaller than the sum of its proper divisors (29085053131008).

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

11552124116736 is an equidigital number, since it uses as much as digits as its factorization.

11552124116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567369 (or 2567346 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 11552124116736 in words is "eleven trillion, five hundred fifty-two billion, one hundred twenty-four million, one hundred sixteen thousand, seven hundred thirty-six".