11072655553600 has 189 divisors, whose sum is σ = 27940159603821. Its totient is φ = 4318906675200.

The previous prime is 11072655553543. The next prime is 11072655553621. The reversal of 11072655553600 is 635555627011.

It is a happy number.

The square root of 11072655553600 is 3327560.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5640549000256 + 5432106553344 = 2374984^2 + 2330688^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 5457197386 + ... + 5457199414.

Almost surely, 2^{11072655553600} is an apocalyptic number.

11072655553600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11072655553600 is the 3327560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11072655553600

11072655553600 is an abundant number, since it is smaller than the sum of its proper divisors (16867504050221).

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

11072655553600 is an frugal number, since it uses more digits than its factorization.

11072655553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 11072655553600 in words is "eleven trillion, seventy-two billion, six hundred fifty-five million, five hundred fifty-three thousand, six hundred".