13098164382720 has 616 divisors, whose sum is σ = 47195282863680. Its totient is φ = 3486434918400.

The previous prime is 13098164382703. The next prime is 13098164382733. The reversal of 13098164382720 is 2728346189031.

It is a happy number.

13098164382720 is a `hidden beast` number, since 1 + 30 + 9 + 8 + 164 + 382 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2243217561 + ... + 2243223399.

Almost surely, 2^{13098164382720} is an apocalyptic number.

13098164382720 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 13098164382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597641431840).

13098164382720 is an abundant number, since it is smaller than the sum of its proper divisors (34097118480960).

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

13098164382720 is an frugal number, since it uses more digits than its factorization.

13098164382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13098164382720 in words is "thirteen trillion, ninety-eight billion, one hundred sixty-four million, three hundred eighty-two thousand, seven hundred twenty".