51323680000 has 180 divisors, whose sum is σ = 135555249060. Its totient is φ = 19320832000.

The previous prime is 51323679997. The next prime is 51323680007. The reversal of 51323680000 is 8632315.

It can be written as a sum of positive squares in 10 ways, for example, as 16441394176 + 34882285824 = 128224^2 + 186768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51323680007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2710566 + ... + 2729434.

It is an arithmetic number, because the mean of its divisors is an integer number (753084717).

Almost surely, 2^51323680000 is an apocalyptic number.

51323680000 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 51323680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67777624530).

51323680000 is an abundant number, since it is smaller than the sum of its proper divisors (84231569060).

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

51323680000 is an equidigital number, since it uses as much as digits as its factorization.

51323680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922 (or 18893 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 51323680000 in words is "fifty-one billion, three hundred twenty-three million, six hundred eighty thousand".