16040085012567 has 96 divisors (see below), whose sum is σ = 28937232030720. Its totient is φ = 8317753920000.

The previous prime is 16040085012529. The next prime is 16040085012577. The reversal of 16040085012567 is 76521058004061.

16040085012567 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 0 + 0 + 85 + 0 + 1 + 2 + 567 = 666.

It is not a de Polignac number, because 16040085012567 - 2³⁴ = 16022905143383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16040085012577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2182023942 + ... + 2182031292.

It is an arithmetic number, because the mean of its divisors is an integer number (301429500320).

Almost surely, 2^{16040085012567} is an apocalyptic number.

16040085012567 is a deficient number, since it is larger than the sum of its proper divisors (12897147018153).

16040085012567 is a wasteful number, since it uses less digits than its factorization.

16040085012567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 16040085012567 in words is "sixteen trillion, forty billion, eighty-five million, twelve thousand, five hundred sixty-seven".