11007408096 has 144 divisors (see below), whose sum is σ = 31722779088. Its totient is φ = 3620198400.

The previous prime is 11007408079. The next prime is 11007408109. The reversal of 11007408096 is 69080470011.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11007408096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7431676 + ... + 7433156.

It is an arithmetic number, because the mean of its divisors is an integer number (220297077).

Almost surely, 2^11007408096 is an apocalyptic number.

11007408096 is a gapful number since it is divisible by the number (16) 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 11007408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861389544).

11007408096 is an abundant number, since it is smaller than the sum of its proper divisors (20715370992).

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

11007408096 is a wasteful number, since it uses less digits than its factorization.

11007408096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11007408096 in words is "eleven billion, seven million, four hundred eight thousand, ninety-six".