871732413504 has 336 divisors, whose sum is σ = 2551750096896. Its totient is φ = 284497920000.

The previous prime is 871732413469. The next prime is 871732413523. The reversal of 871732413504 is 405314237178.

871732413504 is a `hidden beast` number, since 8 + 71 + 7 + 32 + 41 + 3 + 504 = 666.

It is a super-3 number, since 3×871732413504³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 871732413504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3473037379 + ... + 3473037629.

It is an arithmetic number, because the mean of its divisors is an integer number (7594494336).

Almost surely, 2^871732413504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871732413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275875048448).

871732413504 is an abundant number, since it is smaller than the sum of its proper divisors (1680017683392).

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

871732413504 is a wasteful number, since it uses less digits than its factorization.

871732413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 871732413504 in words is "eight hundred seventy-one billion, seven hundred thirty-two million, four hundred thirteen thousand, five hundred four".