871943573394432 has 2816 divisors, whose sum is σ = 3493184735232000. Its totient is φ = 212513551810560.

The previous prime is 871943573394431. The next prime is 871943573394437. The reversal of 871943573394432 is 234493375349178.

871943573394432 is a `hidden beast` number, since 8 + 7 + 1 + 9 + 4 + 3 + 573 + 3 + 9 + 4 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871943573394431) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 127161083548 + ... + 127161090404.

Almost surely, 2^{871943573394432} 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 871943573394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746592367616000).

871943573394432 is an abundant number, since it is smaller than the sum of its proper divisors (2621241161837568).

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

871943573394432 is a wasteful number, since it uses less digits than its factorization.

871943573394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6956 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 72.

The spelling of 871943573394432 in words is "eight hundred seventy-one trillion, nine hundred forty-three billion, five hundred seventy-three million, three hundred ninety-four thousand, four hundred thirty-two".