16687857442752 has 168 divisors, whose sum is σ = 49779606263296. Its totient is φ = 5542961787648.

The previous prime is 16687857442693. The next prime is 16687857442931. The reversal of 16687857442752 is 25724475878661.

16687857442752 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 7 + 8 + 574 + 42 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×16687857442752² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 2505393 + ... + 6297039.

Almost surely, 2^{16687857442752} is an apocalyptic number.

16687857442752 is a gapful number since it is divisible by the number (12) 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 16687857442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889803131648).

16687857442752 is an abundant number, since it is smaller than the sum of its proper divisors (33091748820544).

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

16687857442752 is an equidigital number, since it uses as much as digits as its factorization.

16687857442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791957 (or 3791935 counting only the distinct ones).

The product of its digits is 1264435200, while the sum is 72.

The spelling of 16687857442752 in words is "sixteen trillion, six hundred eighty-seven billion, eight hundred fifty-seven million, four hundred forty-two thousand, seven hundred fifty-two".