871958691072 has 1620 divisors, whose sum is σ = 3359708573760. Its totient is φ = 223545692160.

The previous prime is 871958691061. The next prime is 871958691101. The reversal of 871958691072 is 270196859178.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18552312553 + ... + 18552312599.

Almost surely, 2^871958691072 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 871958691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679854286880).

871958691072 is an abundant number, since it is smaller than the sum of its proper divisors (2487749882688).

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

871958691072 is a wasteful number, since it uses less digits than its factorization.

871958691072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 871958691072 in words is "eight hundred seventy-one billion, nine hundred fifty-eight million, six hundred ninety-one thousand, seventy-two".