851599012800 has 336 divisors, whose sum is σ = 2893413425760. Its totient is φ = 219025981440.

The previous prime is 851599012769. The next prime is 851599012801. The reversal of 851599012800 is 8210995158.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 851599012800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851599012801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155483662 + ... + 155489138.

Almost surely, 2^851599012800 is an apocalyptic number.

851599012800 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 851599012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446706712880).

851599012800 is an abundant number, since it is smaller than the sum of its proper divisors (2041814412960).

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

851599012800 is a wasteful number, since it uses less digits than its factorization.

851599012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The spelling of 851599012800 in words is "eight hundred fifty-one billion, five hundred ninety-nine million, twelve thousand, eight hundred".