11002106880 has 528 divisors, whose sum is σ = 40772309760. Its totient is φ = 2842656768.

The previous prime is 11002106873. The next prime is 11002106887. The reversal of 11002106880 is 8860120011.

It is an interprime number because it is at equal distance from previous prime (11002106873) and next prime (11002106887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002106887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46033801 + ... + 46034039.

Almost surely, 2^11002106880 is an apocalyptic number.

11002106880 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 11002106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386154880).

11002106880 is an abundant number, since it is smaller than the sum of its proper divisors (29770202880).

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

11002106880 is an equidigital number, since it uses as much as digits as its factorization.

11002106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 11002106880 its reverse (8860120011), we get a palindrome (19862226891).

The spelling of 11002106880 in words is "eleven billion, two million, one hundred six thousand, eight hundred eighty".