11056080000 has 320 divisors, whose sum is σ = 41946822720. Its totient is φ = 2526720000.

The previous prime is 11056079963. The next prime is 11056080017. The reversal of 11056080000 is 8065011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1676710 + ... + 1683290.

It is an arithmetic number, because the mean of its divisors is an integer number (131083821).

Almost surely, 2^11056080000 is an apocalyptic number.

11056080000 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 11056080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973411360).

11056080000 is an abundant number, since it is smaller than the sum of its proper divisors (30890742720).

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

11056080000 is an frugal number, since it uses more digits than its factorization.

11056080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 11056080000 in words is "eleven billion, fifty-six million, eighty thousand".