16587078561 has 16 divisors (see below), whose sum is σ = 24576187200. Its totient is φ = 11056820544.

The previous prime is 16587078553. The next prime is 16587078569.

16587078561 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 7 + 0 + 78 + 561 = 666.

16587078561 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (16587078553) and next prime (16587078569).

It is not a de Polignac number, because 16587078561 - 2³ = 16587078553 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16587078498 and 16587078507.

It is not an unprimeable number, because it can be changed into a prime (16587078569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258025 + ... + 315833.

It is an arithmetic number, because the mean of its divisors is an integer number (1536011700).

Almost surely, 2^16587078561 is an apocalyptic number.

It is an amenable number.

16587078561 is a deficient number, since it is larger than the sum of its proper divisors (7989108639).

16587078561 is a wasteful number, since it uses less digits than its factorization.

16587078561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68445 (or 68439 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 16587078561 in words is "sixteen billion, five hundred eighty-seven million, seventy-eight thousand, five hundred sixty-one".