16873031972160 has 896 divisors, whose sum is σ = 77570199383040. Its totient is φ = 3350608478208.

The previous prime is 16873031972101. The next prime is 16873031972183. The reversal of 16873031972160 is 6127913037861.

16873031972160 is a `hidden beast` number, since 1 + 6 + 87 + 30 + 319 + 7 + 216 + 0 = 666.

It is a super-3 number, since 3×16873031972160³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16873031972097 and 16873031972106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12734892 + ... + 13997268.

It is an arithmetic number, because the mean of its divisors is an integer number (86573883240).

Almost surely, 2^{16873031972160} is an apocalyptic number.

16873031972160 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 16873031972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38785099691520).

16873031972160 is an abundant number, since it is smaller than the sum of its proper divisors (60697167410880).

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

16873031972160 is a wasteful number, since it uses less digits than its factorization.

16873031972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262440 (or 1262424 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 16873031972160 in words is "sixteen trillion, eight hundred seventy-three billion, thirty-one million, nine hundred seventy-two thousand, one hundred sixty".