875959808000 has 416 divisors, whose sum is σ = 2275908011520. Its totient is φ = 336199680000.

The previous prime is 875959807949. The next prime is 875959808057. The reversal of 875959808000 is 808959578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3634687880 + ... + 3634688120.

It is an arithmetic number, because the mean of its divisors is an integer number (5470932720).

Almost surely, 2^875959808000 is an apocalyptic number.

875959808000 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 875959808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137954005760).

875959808000 is an abundant number, since it is smaller than the sum of its proper divisors (1399948203520).

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

875959808000 is a wasteful number, since it uses less digits than its factorization.

875959808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 59.

The spelling of 875959808000 in words is "eight hundred seventy-five billion, nine hundred fifty-nine million, eight hundred eight thousand".