871425970272 has 864 divisors, whose sum is σ = 3168970511616. Its totient is φ = 233068492800.

The previous prime is 871425970211. The next prime is 871425970279. The reversal of 871425970272 is 272079524178.

871425970272 is a `hidden beast` number, since 8 + 7 + 1 + 42 + 597 + 0 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871425970279) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 332477122 + ... + 332479742.

It is an arithmetic number, because the mean of its divisors is an integer number (3667789944).

Almost surely, 2^871425970272 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 871425970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584485255808).

871425970272 is an abundant number, since it is smaller than the sum of its proper divisors (2297544541344).

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

871425970272 is a wasteful number, since it uses less digits than its factorization.

871425970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 871425970272 in words is "eight hundred seventy-one billion, four hundred twenty-five million, nine hundred seventy thousand, two hundred seventy-two".