16885171872 has 216 divisors, whose sum is σ = 50929403616. Its totient is φ = 5503033728.

The previous prime is 16885171871. The next prime is 16885171879. The reversal of 16885171872 is 27817158861.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16885171871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17176693 + ... + 17177675.

It is an arithmetic number, because the mean of its divisors is an integer number (235784276).

Almost surely, 2^16885171872 is an apocalyptic number.

16885171872 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 16885171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25464701808).

16885171872 is an abundant number, since it is smaller than the sum of its proper divisors (34044231744).

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

16885171872 is an frugal number, since it uses more digits than its factorization.

16885171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1035 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 54.

The spelling of 16885171872 in words is "sixteen billion, eight hundred eighty-five million, one hundred seventy-one thousand, eight hundred seventy-two".