11481153730560 has 576 divisors, whose sum is σ = 41399951523840. Its totient is φ = 2939455733760.

The previous prime is 11481153730537. The next prime is 11481153730583. The reversal of 11481153730560 is 6503735118411.

11481153730560 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 1 + 53 + 7 + 30 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11481153730537) and next prime (11481153730583).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362818099 + ... + 362849741.

It is an arithmetic number, because the mean of its divisors is an integer number (71874915840).

Almost surely, 2^{11481153730560} is an apocalyptic number.

11481153730560 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 11481153730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699975761920).

11481153730560 is an abundant number, since it is smaller than the sum of its proper divisors (29918797793280).

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

11481153730560 is a wasteful number, since it uses less digits than its factorization.

11481153730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31834 (or 31811 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

Adding to 11481153730560 its reverse (6503735118411), we get a palindrome (17984888848971).

The spelling of 11481153730560 in words is "eleven trillion, four hundred eighty-one billion, one hundred fifty-three million, seven hundred thirty thousand, five hundred sixty".