15729004103868 has 144 divisors (see below), whose sum is σ = 43674782860800. Its totient is φ = 4733317411200.

The previous prime is 15729004103863. The next prime is 15729004103893. The reversal of 15729004103868 is 86830140092751.

15729004103868 is a `hidden beast` number, since 1 + 57 + 2 + 90 + 0 + 410 + 38 + 68 = 666.

It is a super-2 number, since 2×15729004103868² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15729004103863) 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 47 ways as a sum of consecutive naturals, for example, 287381121 + ... + 287435847.

It is an arithmetic number, because the mean of its divisors is an integer number (303297103200).

It is a 1-persistent number, because it is pandigital, but 2⋅15729004103868 = 31458008207736 is not.

Almost surely, 2^{15729004103868} is an apocalyptic number.

15729004103868 is a gapful number since it is divisible by the number (18) 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 15729004103868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21837391430400).

15729004103868 is an abundant number, since it is smaller than the sum of its proper divisors (27945778756932).

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

15729004103868 is a wasteful number, since it uses less digits than its factorization.

15729004103868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59768 (or 59763 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 15729004103868 in words is "fifteen trillion, seven hundred twenty-nine billion, four million, one hundred three thousand, eight hundred sixty-eight".