16810009700 has 216 divisors, whose sum is σ = 43089242112. Its totient is φ = 5667200000.

The previous prime is 16810009691. The next prime is 16810009709. The reversal of 16810009700 is 790001861.

It is an interprime number because it is at equal distance from previous prime (16810009691) and next prime (16810009709).

It is a super-2 number, since 2×16810009700² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16810009709) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14604125 + ... + 14605275.

It is an arithmetic number, because the mean of its divisors is an integer number (199487232).

Almost surely, 2^16810009700 is an apocalyptic number.

16810009700 is a gapful number since it is divisible by the number (10) 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 16810009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544621056).

16810009700 is an abundant number, since it is smaller than the sum of its proper divisors (26279232412).

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

16810009700 is a wasteful number, since it uses less digits than its factorization.

16810009700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 16810009700 in words is "sixteen billion, eight hundred ten million, nine thousand, seven hundred".