51483340800 has 468 divisors, whose sum is σ = 191324395080. Its totient is φ = 13722255360.

The previous prime is 51483340793. The next prime is 51483340801. The reversal of 51483340800 is 804338415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51483340801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24882166 + ... + 24884234.

It is an arithmetic number, because the mean of its divisors is an integer number (408812810).

Almost surely, 2^51483340800 is an apocalyptic number.

51483340800 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 51483340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95662197540).

51483340800 is an abundant number, since it is smaller than the sum of its proper divisors (139841054280).

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

51483340800 is an equidigital number, since it uses as much as digits as its factorization.

51483340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 51483340800 in words is "fifty-one billion, four hundred eighty-three million, three hundred forty thousand, eight hundred".