11100899568 has 320 divisors, whose sum is σ = 34152814080. Its totient is φ = 3070771200.

The previous prime is 11100899539. The next prime is 11100899569. The reversal of 11100899568 is 86599800111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100899569) 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, 56349646 + ... + 56349842.

It is an arithmetic number, because the mean of its divisors is an integer number (106727544).

Almost surely, 2^11100899568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100899568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076407040).

11100899568 is an abundant number, since it is smaller than the sum of its proper divisors (23051914512).

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

11100899568 is a wasteful number, since it uses less digits than its factorization.

11100899568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 11100899568 in words is "eleven billion, one hundred million, eight hundred ninety-nine thousand, five hundred sixty-eight".