51383924800 has 168 divisors, whose sum is σ = 136609522056. Its totient is φ = 18910248960.

The previous prime is 51383924783. The next prime is 51383924827. The reversal of 51383924800 is 842938315.

51383924800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20812101696 + 30571823104 = 144264^2 + 174848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6589704 + ... + 6597496.

It is an arithmetic number, because the mean of its divisors is an integer number (813151917).

Almost surely, 2^51383924800 is an apocalyptic number.

51383924800 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 51383924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68304761028).

51383924800 is an abundant number, since it is smaller than the sum of its proper divisors (85225597256).

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

51383924800 is a wasteful number, since it uses less digits than its factorization.

51383924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 51383924800 in words is "fifty-one billion, three hundred eighty-three million, nine hundred twenty-four thousand, eight hundred".