11265573242880 has 2304 divisors, whose sum is σ = 47737473638400. Its totient is φ = 2496282624000.

The previous prime is 11265573242873. The next prime is 11265573242893. The reversal of 11265573242880 is 8824237556211.

It is a happy number.

11265573242880 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 557 + 3 + 2 + 4 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 34034964315 + ... + 34034964645.

It is an arithmetic number, because the mean of its divisors is an integer number (20719389600).

Almost surely, 2^{11265573242880} is an apocalyptic number.

11265573242880 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 11265573242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868736819200).

11265573242880 is an abundant number, since it is smaller than the sum of its proper divisors (36471900395520).

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

11265573242880 is a wasteful number, since it uses less digits than its factorization.

11265573242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 11265573242880 in words is "eleven trillion, two hundred sixty-five billion, five hundred seventy-three million, two hundred forty-two thousand, eight hundred eighty".