875959823466 has 384 divisors, whose sum is σ = 2465032227840. Its totient is φ = 218598912000.

The previous prime is 875959823441. The next prime is 875959823591. The reversal of 875959823466 is 664328959578.

It is a happy number.

875959823466 is a `hidden beast` number, since 8 + 7 + 5 + 9 + 598 + 23 + 4 + 6 + 6 = 666.

It is a super-2 number, since 2×875959823466² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 875959823394 and 875959823403.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1457503566 + ... + 1457504166.

It is an arithmetic number, because the mean of its divisors is an integer number (6419354760).

Almost surely, 2^875959823466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875959823466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232516113920).

875959823466 is an abundant number, since it is smaller than the sum of its proper divisors (1589072404374).

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

875959823466 is a wasteful number, since it uses less digits than its factorization.

875959823466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1219 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 875959823466 in words is "eight hundred seventy-five billion, nine hundred fifty-nine million, eight hundred twenty-three thousand, four hundred sixty-six".