851964220800 has 3456 divisors, whose sum is σ = 4301647534080. Its totient is φ = 161243136000.

The previous prime is 851964220787. The next prime is 851964220829. The reversal of 851964220800 is 8022469158.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 27482716785 + ... + 27482716815.

It is an arithmetic number, because the mean of its divisors is an integer number (1244689680).

Almost surely, 2^851964220800 is an apocalyptic number.

851964220800 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 851964220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150823767040).

851964220800 is an abundant number, since it is smaller than the sum of its proper divisors (3449683313280).

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

851964220800 is a wasteful number, since it uses less digits than its factorization.

851964220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 851964220800 its reverse (8022469158), we get a palindrome (859986689958).

The spelling of 851964220800 in words is "eight hundred fifty-one billion, nine hundred sixty-four million, two hundred twenty thousand, eight hundred".