16000010016 has 48 divisors (see below), whose sum is σ = 42034676544. Its totient is φ = 5328936704.

The previous prime is 16000009957. The next prime is 16000010021. The reversal of 16000010016 is 61001000061.

16000010016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 16000009977 and 16000010004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49270 + ... + 185546.

It is an arithmetic number, because the mean of its divisors is an integer number (875722428).

Almost surely, 2^16000010016 is an apocalyptic number.

16000010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16000010016 is an abundant number, since it is smaller than the sum of its proper divisors (26034666528).

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

16000010016 is a wasteful number, since it uses less digits than its factorization.

16000010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137513 (or 137505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 16000010016 its reverse (61001000061), we get a palindrome (77001010077).

The spelling of 16000010016 in words is "sixteen billion, ten thousand, sixteen".