871742662128 has 200 divisors, whose sum is σ = 2728832874768. Its totient is φ = 267076113408.

The previous prime is 871742662097. The next prime is 871742662157. The reversal of 871742662128 is 821266247178.

871742662128 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 4 + 2 + 6 + 621 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3814551 + ... + 4036617.

Almost surely, 2^871742662128 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 871742662128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364416437384).

871742662128 is an abundant number, since it is smaller than the sum of its proper divisors (1857090212640).

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

871742662128 is a wasteful number, since it uses less digits than its factorization.

871742662128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222333 (or 222318 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 871742662128 in words is "eight hundred seventy-one billion, seven hundred forty-two million, six hundred sixty-two thousand, one hundred twenty-eight".