16871334480 has 1680 divisors, whose sum is σ = 83882381184. Its totient is φ = 3045703680.

The previous prime is 16871334479. The next prime is 16871334511. The reversal of 16871334480 is 8443317861.

16871334480 is a `hidden beast` number, since 168 + 7 + 1 + 3 + 3 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 992431432 + ... + 992431448.

Almost surely, 2^16871334480 is an apocalyptic number.

16871334480 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 16871334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41941190592).

16871334480 is an abundant number, since it is smaller than the sum of its proper divisors (67011046704).

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

16871334480 is a wasteful number, since it uses less digits than its factorization.

16871334480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16871334480 in words is "sixteen billion, eight hundred seventy-one million, three hundred thirty-four thousand, four hundred eighty".