11059200000000 has 756 divisors, whose sum is σ = 40959959497240. Its totient is φ = 2949120000000.

The previous prime is 11059199999963. The next prime is 11059200000011. The reversal of 11059200000000 is 295011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2211839999998 + ... + 2211840000002.

Almost surely, 2^{11059200000000} is an apocalyptic number.

11059200000000 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 11059200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479979748620).

11059200000000 is an abundant number, since it is smaller than the sum of its proper divisors (29900759497240).

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

11059200000000 is an frugal number, since it uses more digits than its factorization.

11059200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 11059200000000 its reverse (295011), we get a palindrome (11059200295011).

The spelling of 11059200000000 in words is "eleven trillion, fifty-nine billion, two hundred million", and thus it is an aban number.