851385427200 has 2430 divisors, whose sum is σ = 4039608309198. Its totient is φ = 176272588800.

The previous prime is 851385427177. The next prime is 851385427219. The reversal of 851385427200 is 2724583158.

851385427200 is a `hidden beast` number, since 8 + 5 + 1 + 38 + 542 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4425974784 + 846959452416 = 66528^2 + 920304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 3073593462 + ... + 3073593738.

Almost surely, 2^851385427200 is an apocalyptic number.

851385427200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851385427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019804154599).

851385427200 is an abundant number, since it is smaller than the sum of its proper divisors (3188222881998).

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

851385427200 is a wasteful number, since it uses less digits than its factorization.

851385427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 851385427200 in words is "eight hundred fifty-one billion, three hundred eighty-five million, four hundred twenty-seven thousand, two hundred".