16006682160 has 280 divisors, whose sum is σ = 63770516640. Its totient is φ = 3658576896.

The previous prime is 16006682119. The next prime is 16006682173. The reversal of 16006682160 is 6128660061.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 388636 + ... + 427844.

Almost surely, 2^16006682160 is an apocalyptic number.

16006682160 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 16006682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31885258320).

16006682160 is an abundant number, since it is smaller than the sum of its proper divisors (47763834480).

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

16006682160 is an equidigital number, since it uses as much as digits as its factorization.

16006682160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39247 (or 39226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16006682160 in words is "sixteen billion, six million, six hundred eighty-two thousand, one hundred sixty".