871576499342640 has 1280 divisors, whose sum is σ = 3366763713331200. Its totient is φ = 182704564224000.

The previous prime is 871576499342603. The next prime is 871576499342651. The reversal of 871576499342640 is 46243994675178.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 592506117105 + ... + 592506118575.

It is an arithmetic number, because the mean of its divisors is an integer number (2630284151040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅871576499342640 = 1743152998685280, but 3⋅871576499342640 = 2614729498027920 is not.

Almost surely, 2^{871576499342640} is an apocalyptic number.

871576499342640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871576499342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683381856665600).

871576499342640 is an abundant number, since it is smaller than the sum of its proper divisors (2495187213988560).

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

871576499342640 is a wasteful number, since it uses less digits than its factorization.

871576499342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 75.

The spelling of 871576499342640 in words is "eight hundred seventy-one trillion, five hundred seventy-six billion, four hundred ninety-nine million, three hundred forty-two thousand, six hundred forty".