851385729024 has 180 divisors, whose sum is σ = 2604166892964. Its totient is φ = 267100618752.

The previous prime is 851385728957. The next prime is 851385729049. The reversal of 851385729024 is 420927583158.

851385729024 is a `hidden beast` number, since 8 + 513 + 85 + 7 + 29 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 681615360000 + 169770369024 = 825600^2 + 412032^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2336934 + ... + 2676570.

Almost surely, 2^851385729024 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 851385729024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302083446482).

851385729024 is an abundant number, since it is smaller than the sum of its proper divisors (1752781163940).

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

851385729024 is a wasteful number, since it uses less digits than its factorization.

851385729024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339688 (or 339659 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 851385729024 in words is "eight hundred fifty-one billion, three hundred eighty-five million, seven hundred twenty-nine thousand, twenty-four".