11097017568 has 432 divisors, whose sum is σ = 39937453920. Its totient is φ = 2846140416.

The previous prime is 11097017551. The next prime is 11097017593. The reversal of 11097017568 is 86571079011.

11097017568 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 70 + 17 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48458478 + ... + 48458706.

It is an arithmetic number, because the mean of its divisors is an integer number (92447810).

Almost surely, 2^11097017568 is an apocalyptic number.

11097017568 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 11097017568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968726960).

11097017568 is an abundant number, since it is smaller than the sum of its proper divisors (28840436352).

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

11097017568 is a wasteful number, since it uses less digits than its factorization.

11097017568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 11097017568 in words is "eleven billion, ninety-seven million, seventeen thousand, five hundred sixty-eight".