875850967992 has 1536 divisors, whose sum is σ = 3418310246400. Its totient is φ = 180652032000.

The previous prime is 875850967891. The next prime is 875850968021. The reversal of 875850967992 is 299769058578.

It is a super-2 number, since 2×875850967992² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2646075267 + ... + 2646075597.

It is an arithmetic number, because the mean of its divisors is an integer number (2225462400).

Almost surely, 2^875850967992 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 875850967992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709155123200).

875850967992 is an abundant number, since it is smaller than the sum of its proper divisors (2542459278408).

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

875850967992 is a wasteful number, since it uses less digits than its factorization.

875850967992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 75.

The spelling of 875850967992 in words is "eight hundred seventy-five billion, eight hundred fifty million, nine hundred sixty-seven thousand, nine hundred ninety-two".