11017128608640 has 5120 divisors, whose sum is σ = 54597058560000. Its totient is φ = 2092278988800.

The previous prime is 11017128608639. The next prime is 11017128608657. The reversal of 11017128608640 is 4680682171011.

11017128608640 is a `hidden beast` number, since 1 + 1 + 0 + 17 + 1 + 28 + 608 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 139457324121 + ... + 139457324199.

It is an arithmetic number, because the mean of its divisors is an integer number (10663488000).

Almost surely, 2^{11017128608640} is an apocalyptic number.

11017128608640 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 11017128608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298529280000).

11017128608640 is an abundant number, since it is smaller than the sum of its proper divisors (43579929951360).

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

11017128608640 is a wasteful number, since it uses less digits than its factorization.

11017128608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11017128608640 in words is "eleven trillion, seventeen billion, one hundred twenty-eight million, six hundred eight thousand, six hundred forty".