15617000016 has 80 divisors (see below), whose sum is σ = 44844004800. Its totient is φ = 5203642752.

The previous prime is 15616999987. The next prime is 15617000017. The reversal of 15617000016 is 61000071651.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15617000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458715 + ... + 1469381.

It is an arithmetic number, because the mean of its divisors is an integer number (560550060).

Almost surely, 2^15617000016 is an apocalyptic number.

15617000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15617000016 is an abundant number, since it is smaller than the sum of its proper divisors (29227004784).

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

15617000016 is a wasteful number, since it uses less digits than its factorization.

15617000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 15617000016 its reverse (61000071651), we get a palindrome (76617071667).

The spelling of 15617000016 in words is "fifteen billion, six hundred seventeen million, sixteen", and thus it is an aban number.