879493506120 has 448 divisors, whose sum is σ = 3152305998000. Its totient is φ = 220316350464.

The previous prime is 879493506109. The next prime is 879493506137. The reversal of 879493506120 is 21605394978.

879493506120 is a `hidden beast` number, since 8 + 7 + 9 + 4 + 9 + 3 + 506 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 273066863364 + 606426642756 = 522558^2 + 778734^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31274626 + ... + 31302734.

It is a 1-persistent number, because it is pandigital, but 2⋅879493506120 = 1758987012240 is not.

Almost surely, 2^879493506120 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 879493506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576152999000).

879493506120 is an abundant number, since it is smaller than the sum of its proper divisors (2272812491880).

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

879493506120 is a wasteful number, since it uses less digits than its factorization.

879493506120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28204 (or 28185 counting only the distinct ones).

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

The spelling of 879493506120 in words is "eight hundred seventy-nine billion, four hundred ninety-three million, five hundred six thousand, one hundred twenty".