875948406912 has 768 divisors, whose sum is σ = 2787629644800. Its totient is φ = 263250763776.

The previous prime is 875948406911. The next prime is 875948406929. The reversal of 875948406912 is 219604849578.

875948406912 is a `hidden beast` number, since 87 + 5 + 9 + 484 + 0 + 69 + 12 = 666.

It is a super-2 number, since 2×875948406912² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 875948406912.

It is not an unprimeable number, because it can be changed into a prime (875948406911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5579289138 + ... + 5579289294.

It is an arithmetic number, because the mean of its divisors is an integer number (3629726100).

Almost surely, 2^875948406912 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 875948406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393814822400).

875948406912 is an abundant number, since it is smaller than the sum of its proper divisors (1911681237888).

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

875948406912 is a wasteful number, since it uses less digits than its factorization.

875948406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 875948406912 in words is "eight hundred seventy-five billion, nine hundred forty-eight million, four hundred six thousand, nine hundred twelve".