8156872958976 has 1232 divisors, whose sum is σ = 30435405187200. Its totient is φ = 2130989285376.

The previous prime is 8156872958959. The next prime is 8156872959017. The reversal of 8156872958976 is 6798592786518.

8156872958976 is a `hidden beast` number, since 8 + 1 + 5 + 6 + 8 + 7 + 29 + 589 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 8156872958895 and 8156872958904.

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, 2879233656 + ... + 2879236488.

Almost surely, 2^{8156872958976} 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 8156872958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217702593600).

8156872958976 is an abundant number, since it is smaller than the sum of its proper divisors (22278532228224).

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

8156872958976 is a wasteful number, since it uses less digits than its factorization.

8156872958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2893 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 81.

The spelling of 8156872958976 in words is "eight trillion, one hundred fifty-six billion, eight hundred seventy-two million, nine hundred fifty-eight thousand, nine hundred seventy-six".