11544122455320 has 256 divisors, whose sum is σ = 42627559726080. Its totient is φ = 2435505408000.

The previous prime is 11544122455303. The next prime is 11544122455331. The reversal of 11544122455320 is 2355422144511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194903310 + ... + 194962530.

It is an arithmetic number, because the mean of its divisors is an integer number (166513905180).

Almost surely, 2^{11544122455320} is an apocalyptic number.

11544122455320 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 11544122455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313779863040).

11544122455320 is an abundant number, since it is smaller than the sum of its proper divisors (31083437270760).

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

11544122455320 is a wasteful number, since it uses less digits than its factorization.

11544122455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77106 (or 77102 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 11544122455320 its reverse (2355422144511), we get a palindrome (13899544599831).

The spelling of 11544122455320 in words is "eleven trillion, five hundred forty-four billion, one hundred twenty-two million, four hundred fifty-five thousand, three hundred twenty".