11553725264752 has 160 divisors (see below), whose sum is σ = 26540058470400. Its totient is φ = 4813854105600.

The previous prime is 11553725264723. The next prime is 11553725264773. The reversal of 11553725264752 is 25746252735511.

It is a junction number, because it is equal to n+sod(n) for n = 11553725264693 and 11553725264702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850970988 + ... + 850984564.

It is an arithmetic number, because the mean of its divisors is an integer number (165875365440).

Almost surely, 2^{11553725264752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11553725264752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270029235200).

11553725264752 is an abundant number, since it is smaller than the sum of its proper divisors (14986333205648).

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

11553725264752 is a wasteful number, since it uses less digits than its factorization.

11553725264752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21855 (or 21849 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 55.

The spelling of 11553725264752 in words is "eleven trillion, five hundred fifty-three billion, seven hundred twenty-five million, two hundred sixty-four thousand, seven hundred fifty-two".