11375779840000 has 765 divisors, whose sum is σ = 31206514953801. Its totient is φ = 4144496640000.

The previous prime is 11375779839997. The next prime is 11375779840001. The reversal of 11375779840000 is 4897757311.

The square root of 11375779840000 is 3372800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5555411288064 + 5820368551936 = 2356992^2 + 2412544^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11375779840000.

It is not an unprimeable number, because it can be changed into a prime (11375779840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 366960639985 + ... + 366960640015.

Almost surely, 2^{11375779840000} is an apocalyptic number.

11375779840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11375779840000 is the 3372800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11375779840000

11375779840000 is an abundant number, since it is smaller than the sum of its proper divisors (19830735113801).

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

11375779840000 is an frugal number, since it uses more digits than its factorization.

11375779840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 52.

The spelling of 11375779840000 in words is "eleven trillion, three hundred seventy-five billion, seven hundred seventy-nine million, eight hundred forty thousand".