13098187188480 has 576 divisors, whose sum is σ = 43018295443200. Its totient is φ = 3395564863488.

The previous prime is 13098187188467. The next prime is 13098187188497. The reversal of 13098187188480 is 8488178189031.

It is a happy number.

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, 6240202471 + ... + 6240204569.

It is an arithmetic number, because the mean of its divisors is an integer number (74684540700).

Almost surely, 2^{13098187188480} is an apocalyptic number.

13098187188480 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 13098187188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509147721600).

13098187188480 is an abundant number, since it is smaller than the sum of its proper divisors (29920108254720).

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

13098187188480 is a wasteful number, since it uses less digits than its factorization.

13098187188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 66.

The spelling of 13098187188480 in words is "thirteen trillion, ninety-eight billion, one hundred eighty-seven million, one hundred eighty-eight thousand, four hundred eighty".