879438194712 has 192 divisors, whose sum is σ = 2984921372160. Its totient is φ = 227241676800.

The previous prime is 879438194711. The next prime is 879438194741. The reversal of 879438194712 is 217491834978.

879438194712 is a `hidden beast` number, since 8 + 7 + 9 + 438 + 194 + 7 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 879438194712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879438194711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 659037 + ... + 1480947.

It is an arithmetic number, because the mean of its divisors is an integer number (15546465480).

Almost surely, 2^879438194712 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 879438194712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492460686080).

879438194712 is an abundant number, since it is smaller than the sum of its proper divisors (2105483177448).

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

879438194712 is a wasteful number, since it uses less digits than its factorization.

879438194712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822134 (or 822127 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 879438194712 in words is "eight hundred seventy-nine billion, four hundred thirty-eight million, one hundred ninety-four thousand, seven hundred twelve".