879206533267104 has 144 divisors (see below), whose sum is σ = 2896563990220992. Its totient is φ = 247760745145344.

The previous prime is 879206533267087. The next prime is 879206533267133. The reversal of 879206533267104 is 401762335602978.

It is a happy number.

879206533267104 is a `hidden beast` number, since 8 + 7 + 9 + 2 + 0 + 6 + 533 + 26 + 71 + 0 + 4 = 666.

879206533267104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2986937434 + ... + 2987231769.

It is an arithmetic number, because the mean of its divisors is an integer number (20115027709868).

It is a 1-persistent number, because it is pandigital, but 2⋅879206533267104 = 1758413066534208 is not.

Almost surely, 2^{879206533267104} is an apocalyptic number.

879206533267104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

879206533267104 is an abundant number, since it is smaller than the sum of its proper divisors (2017357456953888).

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

879206533267104 is a wasteful number, since it uses less digits than its factorization.

879206533267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974169299 (or 5974169288 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 879206533267104 in words is "eight hundred seventy-nine trillion, two hundred six billion, five hundred thirty-three million, two hundred sixty-seven thousand, one hundred four".