13483617285600 has 1728 divisors, whose sum is σ = 62918272972800. Its totient is φ = 2725929676800.

The previous prime is 13483617285547. The next prime is 13483617285617. The reversal of 13483617285600 is 658271638431.

13483617285600 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 6 + 1 + 7 + 28 + 5 + 600 = 666.

It is a super-2 number, since 2×13483617285600² (a number of 27 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 676912441 + ... + 676932359.

It is an arithmetic number, because the mean of its divisors is an integer number (36411037600).

Almost surely, 2^{13483617285600} is an apocalyptic number.

13483617285600 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 13483617285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31459136486400).

13483617285600 is an abundant number, since it is smaller than the sum of its proper divisors (49434655687200).

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

13483617285600 is a wasteful number, since it uses less digits than its factorization.

13483617285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20014 (or 19984 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13483617285600 in words is "thirteen trillion, four hundred eighty-three billion, six hundred seventeen million, two hundred eighty-five thousand, six hundred".