11032560000 has 960 divisors, whose sum is σ = 49709088000. Its totient is φ = 2280960000.

The previous prime is 11032559963. The next prime is 11032560017. The reversal of 11032560000 is 6523011.

11032560000 is a `hidden beast` number, since 1 + 103 + 2 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55439901 + ... + 55440099.

It is an arithmetic number, because the mean of its divisors is an integer number (51780300).

Almost surely, 2^11032560000 is an apocalyptic number.

11032560000 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 11032560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854544000).

11032560000 is an abundant number, since it is smaller than the sum of its proper divisors (38676528000).

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

11032560000 is a wasteful number, since it uses less digits than its factorization.

11032560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 11032560000 in words is "eleven billion, thirty-two million, five hundred sixty thousand".