872648441856 has 192 divisors, whose sum is σ = 2530756182240. Its totient is φ = 289751040000.

The previous prime is 872648441843. The next prime is 872648441881. The reversal of 872648441856 is 658144846278.

It is a happy number.

872648441856 is a `hidden beast` number, since 8 + 72 + 6 + 48 + 441 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×872648441856² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 872648441793 and 872648441802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77556231 + ... + 77567481.

Almost surely, 2^872648441856 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 872648441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265378091120).

872648441856 is an abundant number, since it is smaller than the sum of its proper divisors (1658107740384).

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

872648441856 is a wasteful number, since it uses less digits than its factorization.

872648441856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550 (or 11519 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 872648441856 in words is "eight hundred seventy-two billion, six hundred forty-eight million, four hundred forty-one thousand, eight hundred fifty-six".