11480890806 has 192 divisors, whose sum is σ = 34282517760. Its totient is φ = 2806513920.

The previous prime is 11480890763. The next prime is 11480890829. The reversal of 11480890806 is 60809808411.

11480890806 is a `hidden beast` number, since 1 + 1 + 480 + 8 + 90 + 80 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483201 + ... + 506403.

It is an arithmetic number, because the mean of its divisors is an integer number (178554780).

Almost surely, 2^11480890806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11480890806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141258880).

11480890806 is an abundant number, since it is smaller than the sum of its proper divisors (22801626954).

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

11480890806 is a wasteful number, since it uses less digits than its factorization.

11480890806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23256 (or 23243 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11480890806 in words is "eleven billion, four hundred eighty million, eight hundred ninety thousand, eight hundred six".