11293505556480 has 1248 divisors, whose sum is σ = 45567636491520. Its totient is φ = 2534025461760.

The previous prime is 11293505556479. The next prime is 11293505556503. The reversal of 11293505556480 is 8465550539211.

11293505556480 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 3 + 5 + 0 + 5 + 556 + 4 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18423336654 + ... + 18423337266.

It is an arithmetic number, because the mean of its divisors is an integer number (36512529240).

Almost surely, 2^{11293505556480} is an apocalyptic number.

11293505556480 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 11293505556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22783818245760).

11293505556480 is an abundant number, since it is smaller than the sum of its proper divisors (34274130935040).

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

11293505556480 is a wasteful number, since it uses less digits than its factorization.

11293505556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 11293505556480 in words is "eleven trillion, two hundred ninety-three billion, five hundred five million, five hundred fifty-six thousand, four hundred eighty".