851825627136 has 1053 divisors, whose sum is σ = 2983884621627. Its totient is φ = 233910927360.

The previous prime is 851825627119. The next prime is 851825627137. The reversal of 851825627136 is 631726528158.

The square root of 851825627136 is 922944.

It is a perfect power (a square), and thus also a powerful number.

851825627136 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 2 + 5 + 627 + 1 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (851825627137) 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 80 ways as a sum of consecutive naturals, for example, 37035896821 + ... + 37035896843.

Almost surely, 2^851825627136 is an apocalyptic number.

851825627136 is the 922944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851825627136

851825627136 is an abundant number, since it is smaller than the sum of its proper divisors (2132058994491).

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

851825627136 is a wasteful number, since it uses less digits than its factorization.

851825627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 58 counting only the distinct ones).

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

The spelling of 851825627136 in words is "eight hundred fifty-one billion, eight hundred twenty-five million, six hundred twenty-seven thousand, one hundred thirty-six".