11113752821760 has 864 divisors, whose sum is σ = 42068792525760. Its totient is φ = 2806920511488.

The previous prime is 11113752821719. The next prime is 11113752821797. The reversal of 11113752821760 is 6712825731111.

11113752821760 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 37 + 528 + 21 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3025795284 + ... + 3025798956.

It is an arithmetic number, because the mean of its divisors is an integer number (48690732090).

Almost surely, 2^{11113752821760} is an apocalyptic number.

11113752821760 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 11113752821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034396262880).

11113752821760 is an abundant number, since it is smaller than the sum of its proper divisors (30955039704000).

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

11113752821760 is an frugal number, since it uses more digits than its factorization.

11113752821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 11113752821760 in words is "eleven trillion, one hundred thirteen billion, seven hundred fifty-two million, eight hundred twenty-one thousand, seven hundred sixty".