851882353728 has 224 divisors, whose sum is σ = 2610884613120. Its totient is φ = 240101038080.

The previous prime is 851882353727. The next prime is 851882353759. The reversal of 851882353728 is 827353288158.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (851882353723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79084983 + ... + 79095753.

It is an arithmetic number, because the mean of its divisors is an integer number (11655734880).

Almost surely, 2^851882353728 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 851882353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305442306560).

851882353728 is an abundant number, since it is smaller than the sum of its proper divisors (1759002259392).

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

851882353728 is a wasteful number, since it uses less digits than its factorization.

851882353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11575 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 851882353728 in words is "eight hundred fifty-one billion, eight hundred eighty-two million, three hundred fifty-three thousand, seven hundred twenty-eight".