51304400000 has 384 divisors, whose sum is σ = 148591739520. Its totient is φ = 17280000000.

The previous prime is 51304399999. The next prime is 51304400009. The reversal of 51304400000 is 440315.

It is not an unprimeable number, because it can be changed into a prime (51304400009) 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, 204399875 + ... + 204400125.

It is an arithmetic number, because the mean of its divisors is an integer number (386957655).

Almost surely, 2^51304400000 is an apocalyptic number.

51304400000 is a gapful number since it is divisible by the number (50) 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 51304400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74295869760).

51304400000 is an abundant number, since it is smaller than the sum of its proper divisors (97287339520).

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

51304400000 is an frugal number, since it uses more digits than its factorization.

51304400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 51304400000 its reverse (440315), we get a palindrome (51304840315).

The spelling of 51304400000 in words is "fifty-one billion, three hundred four million, four hundred thousand".