875998126080 has 1792 divisors, whose sum is σ = 3961865502720. Its totient is φ = 180592312320.

The previous prime is 875998126067. The next prime is 875998126097. The reversal of 875998126080 is 80621899578.

It is a happy number.

875998126080 is a `hidden beast` number, since 8 + 7 + 5 + 9 + 9 + 8 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 875998125999 and 875998126017.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 6897622977 + ... + 6897623103.

Almost surely, 2^875998126080 is an apocalyptic number.

875998126080 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 875998126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980932751360).

875998126080 is an abundant number, since it is smaller than the sum of its proper divisors (3085867376640).

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

875998126080 is an equidigital number, since it uses as much as digits as its factorization.

875998126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 875998126080 in words is "eight hundred seventy-five billion, nine hundred ninety-eight million, one hundred twenty-six thousand, eighty".