13161559449600 has 1344 divisors, whose sum is σ = 50784049612800. Its totient is φ = 3335383941120.

The previous prime is 13161559449589. The next prime is 13161559449659. The reversal of 13161559449600 is 694495516131.

13161559449600 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 5 + 594 + 49 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30396210984 + ... + 30396211416.

It is an arithmetic number, because the mean of its divisors is an integer number (37785751200).

Almost surely, 2^{13161559449600} is an apocalyptic number.

13161559449600 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 13161559449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25392024806400).

13161559449600 is an abundant number, since it is smaller than the sum of its proper divisors (37622490163200).

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

13161559449600 is a wasteful number, since it uses less digits than its factorization.

13161559449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 13161559449600 in words is "thirteen trillion, one hundred sixty-one billion, five hundred fifty-nine million, four hundred forty-nine thousand, six hundred".