11095418880 has 1152 divisors, whose sum is σ = 50083488000. Its totient is φ = 2341011456.

The previous prime is 11095418861. The next prime is 11095418947. The reversal of 11095418880 is 8881459011.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853493754 + ... + 853493766.

It is an arithmetic number, because the mean of its divisors is an integer number (43475250).

Almost surely, 2^11095418880 is an apocalyptic number.

11095418880 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 11095418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041744000).

11095418880 is an abundant number, since it is smaller than the sum of its proper divisors (38988069120).

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

11095418880 is an frugal number, since it uses more digits than its factorization.

11095418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11095418880 in words is "eleven billion, ninety-five million, four hundred eighteen thousand, eight hundred eighty".