11107555840000 has 195 divisors, whose sum is σ = 27769946587383. Its totient is φ = 4440889344000.

The previous prime is 11107555839997. The next prime is 11107555840001. The reversal of 11107555840000 is 4855570111.

The square root of 11107555840000 is 3332800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 870832377856 + 10236723462144 = 933184^2 + 3199488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11107555840001) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 5332478959 + ... + 5332481041.

Almost surely, 2^{11107555840000} is an apocalyptic number.

11107555840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11107555840000 is the 3332800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11107555840000

11107555840000 is an abundant number, since it is smaller than the sum of its proper divisors (16662390747383).

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

11107555840000 is an frugal number, since it uses more digits than its factorization.

11107555840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 37.

The spelling of 11107555840000 in words is "eleven trillion, one hundred seven billion, five hundred fifty-five million, eight hundred forty thousand".