13048880644800 has 6048 divisors, whose sum is σ = 68505511366656. Its totient is φ = 2283149721600.

The previous prime is 13048880644781. The next prime is 13048880644829. The reversal of 13048880644800 is 844608884031.

13048880644800 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 88 + 80 + 6 + 4 + 480 + 0 = 666.

13048880644800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 126688161549 + ... + 126688161651.

It is an arithmetic number, because the mean of its divisors is an integer number (11326969472).

Almost surely, 2^{13048880644800} is an apocalyptic number.

13048880644800 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 13048880644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34252755683328).

13048880644800 is an abundant number, since it is smaller than the sum of its proper divisors (55456630721856).

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

13048880644800 is a wasteful number, since it uses less digits than its factorization.

13048880644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 13048880644800 in words is "thirteen trillion, forty-eight billion, eight hundred eighty million, six hundred forty-four thousand, eight hundred".