11000582160260 has 576 divisors, whose sum is σ = 30273667522560. Its totient is φ = 3318620820480.

The previous prime is 11000582160247. The next prime is 11000582160331. The reversal of 11000582160260 is 6206128500011.

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 191 ways as a sum of consecutive naturals, for example, 30642289961 + ... + 30642290319.

It is an arithmetic number, because the mean of its divisors is an integer number (52558450560).

Almost surely, 2^{11000582160260} is an apocalyptic number.

11000582160260 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 11000582160260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136833761280).

11000582160260 is an abundant number, since it is smaller than the sum of its proper divisors (19273085362300).

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

11000582160260 is a wasteful number, since it uses less digits than its factorization.

11000582160260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 11000582160260 in words is "eleven trillion, five hundred eighty-two million, one hundred sixty thousand, two hundred sixty".