11265528460032 has 2520 divisors, whose sum is σ = 46054466124800. Its totient is φ = 2682682675200.

The previous prime is 11265528459967. The next prime is 11265528460091. The reversal of 11265528460032 is 23006482556211.

11265528460032 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 5 + 2 + 8 + 4 + 600 + 32 = 666.

11265528460032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11265528460032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 363404143857 + ... + 363404143887.

Almost surely, 2^{11265528460032} is an apocalyptic number.

11265528460032 is a gapful number since it is divisible by the number (12) 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 11265528460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027233062400).

11265528460032 is an abundant number, since it is smaller than the sum of its proper divisors (34788937664768).

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

11265528460032 is an frugal number, since it uses more digits than its factorization.

11265528460032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 11265528460032 in words is "eleven trillion, two hundred sixty-five billion, five hundred twenty-eight million, four hundred sixty thousand, thirty-two".