871617854001 has 32 divisors (see below), whose sum is σ = 1207231153920. Its totient is φ = 558709760000.

The previous prime is 871617853991. The next prime is 871617854021. The reversal of 871617854001 is 100458716178.

It is a cyclic number.

It is not a de Polignac number, because 871617854001 - 2⁵ = 871617853969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (871617854021) 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, 91542121 + ... + 91551641.

It is an arithmetic number, because the mean of its divisors is an integer number (37725973560).

Almost surely, 2^871617854001 is an apocalyptic number.

It is an amenable number.

871617854001 is a deficient number, since it is larger than the sum of its proper divisors (335613299919).

871617854001 is a wasteful number, since it uses less digits than its factorization.

871617854001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817.

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 871617854001 in words is "eight hundred seventy-one billion, six hundred seventeen million, eight hundred fifty-four thousand, one".