11265134169600 has 720 divisors, whose sum is σ = 43900217103600. Its totient is φ = 2747777679360.

The previous prime is 11265134169599. The next prime is 11265134169607. The reversal of 11265134169600 is 696143156211.

11265134169600 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 1 + 34 + 1 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×11265134169600⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265134169607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63386464 + ... + 63563936.

It is an arithmetic number, because the mean of its divisors is an integer number (60972523755).

Almost surely, 2^{11265134169600} is an apocalyptic number.

11265134169600 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 11265134169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21950108551800).

11265134169600 is an abundant number, since it is smaller than the sum of its proper divisors (32635082934000).

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

11265134169600 is a wasteful number, since it uses less digits than its factorization.

11265134169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177555 (or 177531 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11265134169600 in words is "eleven trillion, two hundred sixty-five billion, one hundred thirty-four million, one hundred sixty-nine thousand, six hundred".