11001828458200 has 96 divisors (see below), whose sum is σ = 26410513368960. Its totient is φ = 4257784396800.

The previous prime is 11001828458191. The next prime is 11001828458207. The reversal of 11001828458200 is 285482810011.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001828458207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26809764 + ... + 27217036.

It is an arithmetic number, because the mean of its divisors is an integer number (275109514260).

Almost surely, 2^{11001828458200} is an apocalyptic number.

11001828458200 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 11001828458200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205256684480).

11001828458200 is an abundant number, since it is smaller than the sum of its proper divisors (15408684910760).

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

11001828458200 is a wasteful number, since it uses less digits than its factorization.

11001828458200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411677 (or 411668 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The spelling of 11001828458200 in words is "eleven trillion, one billion, eight hundred twenty-eight million, four hundred fifty-eight thousand, two hundred".