851229388800 has 1404 divisors, whose sum is σ = 3638306032816. Its totient is φ = 193491763200.

The previous prime is 851229388753. The next prime is 851229388819. The reversal of 851229388800 is 8883922158.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4702924710 + ... + 4702924890.

Almost surely, 2^851229388800 is an apocalyptic number.

851229388800 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 851229388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819153016408).

851229388800 is an abundant number, since it is smaller than the sum of its proper divisors (2787076644016).

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

851229388800 is an frugal number, since it uses more digits than its factorization.

851229388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 851229388800 in words is "eight hundred fifty-one billion, two hundred twenty-nine million, three hundred eighty-eight thousand, eight hundred".