11752342371360 has 480 divisors, whose sum is σ = 41671036682352. Its totient is φ = 3119248465920.

The previous prime is 11752342371323. The next prime is 11752342371377. The reversal of 11752342371360 is 6317324325711.

11752342371360 is a `hidden beast` number, since 1 + 1 + 7 + 52 + 3 + 4 + 237 + 1 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11566991456784 + 185350914576 = 3401028^2 + 430524^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 4028912622 + ... + 4028915538.

Almost surely, 2^{11752342371360} is an apocalyptic number.

11752342371360 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 11752342371360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835518341176).

11752342371360 is an abundant number, since it is smaller than the sum of its proper divisors (29918694310992).

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

11752342371360 is a wasteful number, since it uses less digits than its factorization.

11752342371360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 11752342371360 in words is "eleven trillion, seven hundred fifty-two billion, three hundred forty-two million, three hundred seventy-one thousand, three hundred sixty".