51300405200 has 240 divisors, whose sum is σ = 140736528000. Its totient is φ = 17788108800.

The previous prime is 51300405199. The next prime is 51300405203. The reversal of 51300405200 is 250400315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51300405203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45438236 + ... + 45439364.

It is an arithmetic number, because the mean of its divisors is an integer number (586402200).

Almost surely, 2^51300405200 is an apocalyptic number.

51300405200 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 51300405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70368264000).

51300405200 is an abundant number, since it is smaller than the sum of its proper divisors (89436122800).

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

51300405200 is a wasteful number, since it uses less digits than its factorization.

51300405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 51300405200 its reverse (250400315), we get a palindrome (51550805515).

The spelling of 51300405200 in words is "fifty-one billion, three hundred million, four hundred five thousand, two hundred".