11010090563200 has 384 divisors, whose sum is σ = 27815239264320. Its totient is φ = 4305430609920.

The previous prime is 11010090563161. The next prime is 11010090563209. The reversal of 11010090563200 is 236509001011.

It is not an unprimeable number, because it can be changed into a prime (11010090563209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21051798139 + ... + 21051798661.

Almost surely, 2^{11010090563200} is an apocalyptic number.

11010090563200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010090563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907619632160).

11010090563200 is an abundant number, since it is smaller than the sum of its proper divisors (16805148701120).

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

11010090563200 is a wasteful number, since it uses less digits than its factorization.

11010090563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

Adding to 11010090563200 its reverse (236509001011), we get a palindrome (11246599564211).

The spelling of 11010090563200 in words is "eleven trillion, ten billion, ninety million, five hundred sixty-three thousand, two hundred".