11125865725920 has 1728 divisors, whose sum is σ = 46465338286080. Its totient is φ = 2482925322240.

The previous prime is 11125865725883. The next prime is 11125865725939. The reversal of 11125865725920 is 2952756852111.

It is a happy number.

11125865725920 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 586 + 5 + 7 + 2 + 59 + 2 + 0 = 666.

11125865725920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7100104977 + ... + 7100106543.

It is an arithmetic number, because the mean of its divisors is an integer number (26889663360).

Almost surely, 2^{11125865725920} is an apocalyptic number.

11125865725920 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 11125865725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232669143040).

11125865725920 is an abundant number, since it is smaller than the sum of its proper divisors (35339472560160).

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

11125865725920 is a wasteful number, since it uses less digits than its factorization.

11125865725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 11125865725920 in words is "eleven trillion, one hundred twenty-five billion, eight hundred sixty-five million, seven hundred twenty-five thousand, nine hundred twenty".