16613400103560 has 384 divisors, whose sum is σ = 60173241055200. Its totient is φ = 3947040276480.

The previous prime is 16613400103481. The next prime is 16613400103567. The reversal of 16613400103560 is 6530100431661.

16613400103560 is a `hidden beast` number, since 1 + 6 + 61 + 34 + 0 + 0 + 1 + 0 + 3 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6259433556996 + 10353966546564 = 2501886^2 + 3217758^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16613400103567) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 412704394 + ... + 412744646.

Almost surely, 2^{16613400103560} is an apocalyptic number.

16613400103560 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 16613400103560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30086620527600).

16613400103560 is an abundant number, since it is smaller than the sum of its proper divisors (43559840951640).

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

16613400103560 is a wasteful number, since it uses less digits than its factorization.

16613400103560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43353 (or 43346 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 16613400103560 in words is "sixteen trillion, six hundred thirteen billion, four hundred million, one hundred three thousand, five hundred sixty".