879493060512 has 768 divisors, whose sum is σ = 3013994188800. Its totient is φ = 246701998080.

The previous prime is 879493060489. The next prime is 879493060597. The reversal of 879493060512 is 215060394978.

879493060512 is a `hidden beast` number, since 8 + 7 + 94 + 9 + 30 + 6 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1805940333 + ... + 1805940819.

It is an arithmetic number, because the mean of its divisors is an integer number (3924471600).

It is a 1-persistent number, because it is pandigital, but 2⋅879493060512 = 1758986121024 is not.

Almost surely, 2^879493060512 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 879493060512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506997094400).

879493060512 is an abundant number, since it is smaller than the sum of its proper divisors (2134501128288).

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

879493060512 is a wasteful number, since it uses less digits than its factorization.

879493060512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 879493060512 in words is "eight hundred seventy-nine billion, four hundred ninety-three million, sixty thousand, five hundred twelve".