51205424400 has 960 divisors, whose sum is σ = 208151677440. Its totient is φ = 11860992000.

The previous prime is 51205424363. The next prime is 51205424443. The reversal of 51205424400 is 442450215.

51205424400 is a `hidden beast` number, since 51 + 205 + 4 + 2 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326149122 + ... + 326149278.

It is an arithmetic number, because the mean of its divisors is an integer number (216824664).

Almost surely, 2^51205424400 is an apocalyptic number.

51205424400 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 51205424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104075838720).

51205424400 is an abundant number, since it is smaller than the sum of its proper divisors (156946253040).

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

51205424400 is a wasteful number, since it uses less digits than its factorization.

51205424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 51205424400 its reverse (442450215), we get a palindrome (51647874615).

The spelling of 51205424400 in words is "fifty-one billion, two hundred five million, four hundred twenty-four thousand, four hundred".