871850003200 has 432 divisors, whose sum is σ = 2426487882336. Its totient is φ = 307357286400.

The previous prime is 871850003161. The next prime is 871850003201. The reversal of 871850003200 is 2300058178.

871850003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (871850003201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127878014 + ... + 1127878786.

It is an arithmetic number, because the mean of its divisors is an integer number (5616870098).

Almost surely, 2^871850003200 is an apocalyptic number.

871850003200 is a gapful number since it is divisible by the number (80) 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 871850003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213243941168).

871850003200 is an abundant number, since it is smaller than the sum of its proper divisors (1554637879136).

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

871850003200 is a wasteful number, since it uses less digits than its factorization.

871850003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 871850003200 in words is "eight hundred seventy-one billion, eight hundred fifty million, three thousand, two hundred".