11088090000000 has 1728 divisors, whose sum is σ = 44846590758840. Its totient is φ = 2729376000000.

The previous prime is 11088089999953. The next prime is 11088090000019. The reversal of 11088090000000 is 9088011.

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 can be written as a sum of positive squares in 12 ways, for example, as 8590198257216 + 2497891742784 = 2930904^2 + 1580472^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 852929999994 + ... + 852930000006.

Almost surely, 2^{11088090000000} is an apocalyptic number.

11088090000000 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 11088090000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22423295379420).

11088090000000 is an abundant number, since it is smaller than the sum of its proper divisors (33758500758840).

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

11088090000000 is an frugal number, since it uses more digits than its factorization.

11088090000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 11088090000000 its reverse (9088011), we get a palindrome (11088099088011).

The spelling of 11088090000000 in words is "eleven trillion, eighty-eight billion, ninety million", and thus it is an aban number and an uban number.