16700825808 has 160 divisors (see below), whose sum is σ = 50567299200. Its totient is φ = 5262796800.

The previous prime is 16700825767. The next prime is 16700825809. The reversal of 16700825808 is 80852800761.

16700825808 is a `hidden beast` number, since 1 + 67 + 0 + 0 + 8 + 2 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16700825809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438648 + ... + 4442408.

It is an arithmetic number, because the mean of its divisors is an integer number (316045620).

Almost surely, 2^16700825808 is an apocalyptic number.

16700825808 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 16700825808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25283649600).

16700825808 is an abundant number, since it is smaller than the sum of its proper divisors (33866473392).

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

16700825808 is a wasteful number, since it uses less digits than its factorization.

16700825808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 16700825808 in words is "sixteen billion, seven hundred million, eight hundred twenty-five thousand, eight hundred eight".