11106220680 has 192 divisors, whose sum is σ = 37730085120. Its totient is φ = 2827968000.

The previous prime is 11106220669. The next prime is 11106220691. The reversal of 11106220680 is 8602260111.

It is an interprime number because it is at equal distance from previous prime (11106220669) and next prime (11106220691).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8536030 + ... + 8537330.

It is an arithmetic number, because the mean of its divisors is an integer number (196510860).

Almost surely, 2^11106220680 is an apocalyptic number.

11106220680 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 11106220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865042560).

11106220680 is an abundant number, since it is smaller than the sum of its proper divisors (26623864440).

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

11106220680 is a wasteful number, since it uses less digits than its factorization.

11106220680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11106220680 its reverse (8602260111), we get a palindrome (19708480791).

The spelling of 11106220680 in words is "eleven billion, one hundred six million, two hundred twenty thousand, six hundred eighty".