11009882880 has 720 divisors, whose sum is σ = 43449880320. Its totient is φ = 2660511744.

The previous prime is 11009882879. The next prime is 11009882881. The reversal of 11009882880 is 8828890011.

It is an interprime number because it is at equal distance from previous prime (11009882879) and next prime (11009882881).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009882881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 478690549 + ... + 478690571.

It is an arithmetic number, because the mean of its divisors is an integer number (60347056).

Almost surely, 2^11009882880 is an apocalyptic number.

11009882880 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 11009882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724940160).

11009882880 is an abundant number, since it is smaller than the sum of its proper divisors (32439997440).

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

11009882880 is an frugal number, since it uses more digits than its factorization.

11009882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 11009882880 in words is "eleven billion, nine million, eight hundred eighty-two thousand, eight hundred eighty".