11097763232200 has 24 divisors (see below), whose sum is σ = 25802299515330. Its totient is φ = 4439105292800.

The previous prime is 11097763232191. The next prime is 11097763232201. The reversal of 11097763232200 is 223236779011.

11097763232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10733263659556 + 364499572644 = 3276166^2 + 603738^2 .

It is a super-3 number, since 3×11097763232200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11097763232201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27744407881 + ... + 27744408280.

Almost surely, 2^{11097763232200} is an apocalyptic number.

11097763232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11097763232200 is an abundant number, since it is smaller than the sum of its proper divisors (14704536283130).

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

11097763232200 is a wasteful number, since it uses less digits than its factorization.

11097763232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55488816177 (or 55488816168 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 11097763232200 in words is "eleven trillion, ninety-seven billion, seven hundred sixty-three million, two hundred thirty-two thousand, two hundred".