11035883320900 has 27 divisors (see below), whose sum is σ = 23947938894621. Its totient is φ = 4414340040240.

The previous prime is 11035883320871. The next prime is 11035883320939. The reversal of 11035883320900 is 902338853011.

The square root of 11035883320900 is 3322030.

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

It can be written as a sum of positive squares in only one way, i.e., 3972917995524 + 7062965325376 = 1993218^2 + 2657624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33054199 + ... + 33386401.

Almost surely, 2^{11035883320900} is an apocalyptic number.

11035883320900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11035883320900 is the 3322030-th square number.

It is an amenable number.

11035883320900 is an abundant number, since it is smaller than the sum of its proper divisors (12912055573721).

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

11035883320900 is an frugal number, since it uses more digits than its factorization.

11035883320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664420 (or 332210 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 11035883320900 in words is "eleven trillion, thirty-five billion, eight hundred eighty-three million, three hundred twenty thousand, nine hundred".