872855433216 has 832 divisors, whose sum is σ = 2996128880640. Its totient is φ = 248716984320.

The previous prime is 872855433181. The next prime is 872855433277. The reversal of 872855433216 is 612334558278.

872855433216 is a `hidden beast` number, since 8 + 7 + 2 + 85 + 543 + 3 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×872855433216² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1735298821 + ... + 1735299323.

Almost surely, 2^872855433216 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 872855433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498064440320).

872855433216 is an abundant number, since it is smaller than the sum of its proper divisors (2123273447424).

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

872855433216 is a wasteful number, since it uses less digits than its factorization.

872855433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 609 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 872855433216 in words is "eight hundred seventy-two billion, eight hundred fifty-five million, four hundred thirty-three thousand, two hundred sixteen".