16006759976960 has 104 divisors (see below), whose sum is σ = 38665922957376. Its totient is φ = 6360300748800.

The previous prime is 16006759976957. The next prime is 16006759976971. The reversal of 16006759976960 is 6967995760061.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 504467 + ... + 5680493.

It is an arithmetic number, because the mean of its divisors is an integer number (371787720744).

Almost surely, 2^{16006759976960} is an apocalyptic number.

16006759976960 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 16006759976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332961478688).

16006759976960 is an abundant number, since it is smaller than the sum of its proper divisors (22659162980416).

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

16006759976960 is an equidigital number, since it uses as much as digits as its factorization.

16006759976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176207 (or 5176185 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 71.

The spelling of 16006759976960 in words is "sixteen trillion, six billion, seven hundred fifty-nine million, nine hundred seventy-six thousand, nine hundred sixty".