11293811061120 has 1024 divisors, whose sum is σ = 48258775296000. Its totient is φ = 2438473973760.

The previous prime is 11293811061107. The next prime is 11293811061131. The reversal of 11293811061120 is 2116011839211.

11293811061120 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 3 + 8 + 1 + 10 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 811271760 + ... + 811285680.

It is an arithmetic number, because the mean of its divisors is an integer number (47127710250).

Almost surely, 2^{11293811061120} is an apocalyptic number.

11293811061120 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 11293811061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129387648000).

11293811061120 is an abundant number, since it is smaller than the sum of its proper divisors (36964964234880).

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

11293811061120 is a wasteful number, since it uses less digits than its factorization.

11293811061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14328 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11293811061120 in words is "eleven trillion, two hundred ninety-three billion, eight hundred eleven million, sixty-one thousand, one hundred twenty".