871668427716450 has 576 divisors, whose sum is σ = 3106077188336640. Its totient is φ = 177979794048000.

The previous prime is 871668427716433. The next prime is 871668427716511. The reversal of 871668427716450 is 54617724866178.

It is a happy number.

871668427716450 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 6 + 84 + 27 + 71 + 6 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10309630 + ... + 43007270.

It is an arithmetic number, because the mean of its divisors is an integer number (5392495118640).

Almost surely, 2^{871668427716450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871668427716450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553038594168320).

871668427716450 is an abundant number, since it is smaller than the sum of its proper divisors (2234408760620190).

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

871668427716450 is a wasteful number, since it uses less digits than its factorization.

871668427716450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32697720 (or 32697702 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 871668427716450 in words is "eight hundred seventy-one trillion, six hundred sixty-eight billion, four hundred twenty-seven million, seven hundred sixteen thousand, four hundred fifty".