11101098960 has 480 divisors, whose sum is σ = 44104320000. Its totient is φ = 2500872192.

The previous prime is 11101098949. The next prime is 11101098979. The reversal of 11101098960 is 6989010111.

11101098960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19509556 + ... + 19510124.

It is an arithmetic number, because the mean of its divisors is an integer number (91884000).

Almost surely, 2^11101098960 is an apocalyptic number.

11101098960 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 11101098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160000).

11101098960 is an abundant number, since it is smaller than the sum of its proper divisors (33003221040).

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

11101098960 is a wasteful number, since it uses less digits than its factorization.

11101098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 11101098960 in words is "eleven billion, one hundred one million, ninety-eight thousand, nine hundred sixty".