11098705310784 has 504 divisors, whose sum is σ = 39957500943360. Its totient is φ = 2919451465728.

The previous prime is 11098705310773. The next prime is 11098705310807. The reversal of 11098705310784 is 48701350789011.

11098705310784 is a `hidden beast` number, since 1 + 10 + 98 + 7 + 0 + 531 + 0 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 11098705310784.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140487807 + ... + 140566785.

It is an arithmetic number, because the mean of its divisors is an integer number (79280755840).

Almost surely, 2^{11098705310784} is an apocalyptic number.

11098705310784 is a gapful number since it is divisible by the number (14) 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 11098705310784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978750471680).

11098705310784 is an abundant number, since it is smaller than the sum of its proper divisors (28858795632576).

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

11098705310784 is a wasteful number, since it uses less digits than its factorization.

11098705310784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79407 (or 79387 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11098705310784 in words is "eleven trillion, ninety-eight billion, seven hundred five million, three hundred ten thousand, seven hundred eighty-four".