16417877688 has 160 divisors (see below), whose sum is σ = 47529158160. Its totient is φ = 5290790400.

The previous prime is 16417877657. The next prime is 16417877731. The reversal of 16417877688 is 88677871461.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3905988 + ... + 3910188.

Almost surely, 2^16417877688 is an apocalyptic number.

16417877688 is a gapful number since it is divisible by the number (18) 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 16417877688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764579080).

16417877688 is an abundant number, since it is smaller than the sum of its proper divisors (31111280472).

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

16417877688 is a wasteful number, since it uses less digits than its factorization.

16417877688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4406 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

The spelling of 16417877688 in words is "sixteen billion, four hundred seventeen million, eight hundred seventy-seven thousand, six hundred eighty-eight".