11364588379872 has 768 divisors, whose sum is σ = 43452180172800. Its totient is φ = 2820888944640.

The previous prime is 11364588379813. The next prime is 11364588379873. The reversal of 11364588379872 is 27897388546311.

11364588379872 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 588 + 37 + 9 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11364588379872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364588379873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225861597 + ... + 225911907.

It is an arithmetic number, because the mean of its divisors is an integer number (56578359600).

Almost surely, 2^{11364588379872} is an apocalyptic number.

11364588379872 is a gapful number since it is divisible by the number (12) 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 11364588379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726090086400).

11364588379872 is an abundant number, since it is smaller than the sum of its proper divisors (32087591792928).

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

11364588379872 is a wasteful number, since it uses less digits than its factorization.

11364588379872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50393 (or 50353 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 11364588379872 in words is "eleven trillion, three hundred sixty-four billion, five hundred eighty-eight million, three hundred seventy-nine thousand, eight hundred seventy-two".