11113065587520 has 896 divisors, whose sum is σ = 42920958689280. Its totient is φ = 2690255462400.

The previous prime is 11113065587467. The next prime is 11113065587627. The reversal of 11113065587520 is 2578556031111.

11113065587520 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 3 + 0 + 6 + 558 + 75 + 20 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8661780799 + ... + 8661782081.

It is an arithmetic number, because the mean of its divisors is an integer number (47902855680).

Almost surely, 2^{11113065587520} is an apocalyptic number.

11113065587520 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 11113065587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460479344640).

11113065587520 is an abundant number, since it is smaller than the sum of its proper divisors (31807893101760).

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

11113065587520 is a wasteful number, since it uses less digits than its factorization.

11113065587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 11113065587520 in words is "eleven trillion, one hundred thirteen billion, sixty-five million, five hundred eighty-seven thousand, five hundred twenty".