11359090080 has 240 divisors, whose sum is σ = 43172464104. Its totient is φ = 2796042240.

The previous prime is 11359090079. The next prime is 11359090087. The reversal of 11359090080 is 8009095311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7696903824 + 3662186256 = 87732^2 + 60516^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11359090087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134770 + ... + 202190.

Almost surely, 2^11359090080 is an apocalyptic number.

11359090080 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 11359090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21586232052).

11359090080 is an abundant number, since it is smaller than the sum of its proper divisors (31813374024).

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

11359090080 is a wasteful number, since it uses less digits than its factorization.

11359090080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67461 (or 67444 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 11359090080 in words is "eleven billion, three hundred fifty-nine million, ninety thousand, eighty".