16871129400 has 192 divisors, whose sum is σ = 54096537600. Its totient is φ = 4346933760.

The previous prime is 16871129399. The next prime is 16871129423. The reversal of 16871129400 is 492117861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2224014 + ... + 2231586.

It is an arithmetic number, because the mean of its divisors is an integer number (281752800).

Almost surely, 2^16871129400 is an apocalyptic number.

16871129400 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 16871129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27048268800).

16871129400 is an abundant number, since it is smaller than the sum of its proper divisors (37225408200).

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

16871129400 is a wasteful number, since it uses less digits than its factorization.

16871129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 16871129400 in words is "sixteen billion, eight hundred seventy-one million, one hundred twenty-nine thousand, four hundred".