11010191090800 has 180 divisors, whose sum is σ = 29751497249320. Its totient is φ = 3910595673600.

The previous prime is 11010191090783. The next prime is 11010191090807. The reversal of 11010191090800 is 809019101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010191090807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563955 + ... + 4726354.

Almost surely, 2^{11010191090800} is an apocalyptic number.

11010191090800 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 11010191090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875748624660).

11010191090800 is an abundant number, since it is smaller than the sum of its proper divisors (18741306158520).

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

11010191090800 is a wasteful number, since it uses less digits than its factorization.

11010191090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290392 (or 5290370 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 11010191090800 in words is "eleven trillion, ten billion, one hundred ninety-one million, ninety thousand, eight hundred".