11099645568 has 512 divisors, whose sum is σ = 38227968000. Its totient is φ = 3161410560.

The previous prime is 11099645563. The next prime is 11099645617. The reversal of 11099645568 is 86554699011.

11099645568 is a `hidden beast` number, since 1 + 10 + 9 + 9 + 64 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11099645561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87398721 + ... + 87398847.

It is an arithmetic number, because the mean of its divisors is an integer number (74664000).

Almost surely, 2^11099645568 is an apocalyptic number.

11099645568 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 11099645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113984000).

11099645568 is an abundant number, since it is smaller than the sum of its proper divisors (27128322432).

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

11099645568 is a wasteful number, since it uses less digits than its factorization.

11099645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11099645568 in words is "eleven billion, ninety-nine million, six hundred forty-five thousand, five hundred sixty-eight".