13616130124800 has 1584 divisors, whose sum is σ = 58331380124160. Its totient is φ = 2967121428480.

The previous prime is 13616130124787. The next prime is 13616130124811. The reversal of 13616130124800 is 842103161631.

13616130124800 is a `hidden beast` number, since 1 + 3 + 6 + 161 + 3 + 0 + 12 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21996978891 + ... + 21996979509.

It is an arithmetic number, because the mean of its divisors is an integer number (36825366240).

Almost surely, 2^{13616130124800} is an apocalyptic number.

13616130124800 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 13616130124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29165690062080).

13616130124800 is an abundant number, since it is smaller than the sum of its proper divisors (44715249999360).

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

13616130124800 is a wasteful number, since it uses less digits than its factorization.

13616130124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13616130124800 in words is "thirteen trillion, six hundred sixteen billion, one hundred thirty million, one hundred twenty-four thousand, eight hundred".