13398080000 has 200 divisors, whose sum is σ = 33796134900. Its totient is φ = 5304320000.

The previous prime is 13398079979. The next prime is 13398080009. The reversal of 13398080000 is 8089331.

It can be written as a sum of positive squares in 10 ways, for example, as 2148507904 + 11249572096 = 46352^2 + 106064^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13398080009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47679860 + ... + 47680140.

Almost surely, 2^13398080000 is an apocalyptic number.

13398080000 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 13398080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898067450).

13398080000 is an abundant number, since it is smaller than the sum of its proper divisors (20398054900).

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

13398080000 is an frugal number, since it uses more digits than its factorization.

13398080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 13398080000 in words is "thirteen billion, three hundred ninety-eight million, eighty thousand".