13116098240 has 448 divisors, whose sum is σ = 39326515200. Its totient is φ = 4067241984.

The previous prime is 13116098227. The next prime is 13116098273. The reversal of 13116098240 is 4289061131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13116098240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158025239 + ... + 158025321.

It is an arithmetic number, because the mean of its divisors is an integer number (87782400).

Almost surely, 2^13116098240 is an apocalyptic number.

13116098240 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 13116098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663257600).

13116098240 is an abundant number, since it is smaller than the sum of its proper divisors (26210416960).

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

13116098240 is a wasteful number, since it uses less digits than its factorization.

13116098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 13116098240 in words is "thirteen billion, one hundred sixteen million, ninety-eight thousand, two hundred forty".