11017965961728 has 480 divisors, whose sum is σ = 36811359636480. Its totient is φ = 3139464683520.

The previous prime is 11017965961697. The next prime is 11017965961729. The reversal of 11017965961728 is 82716956971011.

11017965961728 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 7 + 9 + 6 + 5 + 9 + 617 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11017965961729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68703525 + ... + 68863707.

It is an arithmetic number, because the mean of its divisors is an integer number (76690332576).

Almost surely, 2^{11017965961728} is an apocalyptic number.

11017965961728 is a gapful number since it is divisible by the number (18) 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 11017965961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405679818240).

11017965961728 is an abundant number, since it is smaller than the sum of its proper divisors (25793393674752).

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

11017965961728 is a wasteful number, since it uses less digits than its factorization.

11017965961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160300 (or 160281 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 63.

The spelling of 11017965961728 in words is "eleven trillion, seventeen billion, nine hundred sixty-five million, nine hundred sixty-one thousand, seven hundred twenty-eight".