871459699968 has 1440 divisors, whose sum is σ = 3220989488640. Its totient is φ = 232130396160.

The previous prime is 871459699937. The next prime is 871459699987. The reversal of 871459699968 is 869996954178.

871459699968 is a `hidden beast` number, since 8 + 7 + 14 + 596 + 9 + 9 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (2116316160) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18541695721 + ... + 18541695767.

It is an arithmetic number, because the mean of its divisors is an integer number (2236798256).

Almost surely, 2^871459699968 is an apocalyptic number.

871459699968 is a gapful number since it is divisible by the number (88) 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 871459699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610494744320).

871459699968 is an abundant number, since it is smaller than the sum of its proper divisors (2349529788672).

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

871459699968 is a wasteful number, since it uses less digits than its factorization.

871459699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its digits is 2116316160, while the sum is 81.

The spelling of 871459699968 in words is "eight hundred seventy-one billion, four hundred fifty-nine million, six hundred ninety-nine thousand, nine hundred sixty-eight".