850884888672 has 864 divisors, whose sum is σ = 3159852014592. Its totient is φ = 223247840256.

The previous prime is 850884888571. The next prime is 850884888683. The reversal of 850884888672 is 276888488058.

850884888672 is a `hidden beast` number, since 8 + 5 + 0 + 88 + 488 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 850884888672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1401786993 + ... + 1401787599.

It is an arithmetic number, because the mean of its divisors is an integer number (3657236128).

Almost surely, 2^850884888672 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 850884888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579926007296).

850884888672 is an abundant number, since it is smaller than the sum of its proper divisors (2308967125920).

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

850884888672 is a wasteful number, since it uses less digits than its factorization.

850884888672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 440401920, while the sum is 72.

The spelling of 850884888672 in words is "eight hundred fifty billion, eight hundred eighty-four million, eight hundred eighty-eight thousand, six hundred seventy-two".