871001700485400 has 2688 divisors, whose sum is σ = 3576799380188160. Its totient is φ = 194804103168000.

The previous prime is 871001700485359. The next prime is 871001700485431. The reversal of 871001700485400 is 4584007100178.

871001700485400 is a `hidden beast` number, since 8 + 71 + 0 + 0 + 170 + 0 + 4 + 8 + 5 + 400 = 666.

It is a super-2 number, since 2×871001700485400² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 610372599487 + ... + 610372600913.

It is an arithmetic number, because the mean of its divisors is an integer number (1330654531320).

Almost surely, 2^{871001700485400} 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 871001700485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788399690094080).

871001700485400 is an abundant number, since it is smaller than the sum of its proper divisors (2705797679702760).

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

871001700485400 is a wasteful number, since it uses less digits than its factorization.

871001700485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

Adding to 871001700485400 its reverse (4584007100178), we get a palindrome (875585707585578).

The spelling of 871001700485400 in words is "eight hundred seventy-one trillion, one billion, seven hundred million, four hundred eighty-five thousand, four hundred".