13098786268320 has 288 divisors, whose sum is σ = 47115078192000. Its totient is φ = 3435746595840.

The previous prime is 13098786268301. The next prime is 13098786268333. The reversal of 13098786268320 is 2386268789031.

13098786268320 is a `hidden beast` number, since 130 + 9 + 87 + 86 + 26 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389820 + ... + 5133179.

It is an arithmetic number, because the mean of its divisors is an integer number (163594021500).

Almost surely, 2^{13098786268320} is an apocalyptic number.

13098786268320 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 13098786268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557539096000).

13098786268320 is an abundant number, since it is smaller than the sum of its proper divisors (34016291923680).

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

13098786268320 is an equidigital number, since it uses as much as digits as its factorization.

13098786268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523090 (or 5523070 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 13098786268320 in words is "thirteen trillion, ninety-eight billion, seven hundred eighty-six million, two hundred sixty-eight thousand, three hundred twenty".