11130866880 has 448 divisors, whose sum is σ = 42030213120. Its totient is φ = 2442756096.

The previous prime is 11130866869. The next prime is 11130866891. The reversal of 11130866880 is 8866803111.

It is an interprime number because it is at equal distance from previous prime (11130866869) and next prime (11130866891).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22128709 + ... + 22129211.

It is an arithmetic number, because the mean of its divisors is an integer number (93817440).

Almost surely, 2^11130866880 is an apocalyptic number.

11130866880 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 11130866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015106560).

11130866880 is an abundant number, since it is smaller than the sum of its proper divisors (30899346240).

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

11130866880 is a wasteful number, since it uses less digits than its factorization.

11130866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 11130866880 in words is "eleven billion, one hundred thirty million, eight hundred sixty-six thousand, eight hundred eighty".