11070828006560 has 288 divisors, whose sum is σ = 32188979370240. Its totient is φ = 3577675143168.

The previous prime is 11070828006559. The next prime is 11070828006583. The reversal of 11070828006560 is 6560082807011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29156489 + ... + 29533751.

It is an arithmetic number, because the mean of its divisors is an integer number (111767289480).

Almost surely, 2^{11070828006560} is an apocalyptic number.

11070828006560 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 11070828006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094489685120).

11070828006560 is an abundant number, since it is smaller than the sum of its proper divisors (21118151363680).

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

11070828006560 is a wasteful number, since it uses less digits than its factorization.

11070828006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377508 (or 377493 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 11070828006560 in words is "eleven trillion, seventy billion, eight hundred twenty-eight million, six thousand, five hundred sixty".