875504217120 has 384 divisors, whose sum is σ = 3068675850240. Its totient is φ = 208360304640.

The previous prime is 875504217103. The next prime is 875504217149. The reversal of 875504217120 is 21712405578.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382816617 + ... + 382818903.

It is an arithmetic number, because the mean of its divisors is an integer number (7991343360).

Almost surely, 2^875504217120 is an apocalyptic number.

875504217120 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 875504217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534337925120).

875504217120 is an abundant number, since it is smaller than the sum of its proper divisors (2193171633120).

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

875504217120 is a wasteful number, since it uses less digits than its factorization.

875504217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 875504217120 in words is "eight hundred seventy-five billion, five hundred four million, two hundred seventeen thousand, one hundred twenty".