875292576000 has 288 divisors, whose sum is σ = 2933048821248. Its totient is φ = 231342899200.

The previous prime is 875292575953. The next prime is 875292576001. The reversal of 875292576000 is 675292578.

It is a super-2 number, since 2×875292576000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (875292576001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10807657 + ... + 10888343.

It is an arithmetic number, because the mean of its divisors is an integer number (10184197296).

Almost surely, 2^875292576000 is an apocalyptic number.

875292576000 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 875292576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466524410624).

875292576000 is an abundant number, since it is smaller than the sum of its proper divisors (2057756245248).

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

875292576000 is a wasteful number, since it uses less digits than its factorization.

875292576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80834 (or 80810 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 875292576000 in words is "eight hundred seventy-five billion, two hundred ninety-two million, five hundred seventy-six thousand".