51124211314400 has 576 divisors, whose sum is σ = 146174910456960. Its totient is φ = 17100531302400.

The previous prime is 51124211314387. The next prime is 51124211314403. The reversal of 51124211314400 is 441311242115.

It is a super-2 number, since 2×51124211314400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51124211314403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10829104040 + ... + 10829108760.

It is an arithmetic number, because the mean of its divisors is an integer number (253775886210).

Almost surely, 2^{51124211314400} is an apocalyptic number.

51124211314400 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 51124211314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73087455228480).

51124211314400 is an abundant number, since it is smaller than the sum of its proper divisors (95050699142560).

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

51124211314400 is a wasteful number, since it uses less digits than its factorization.

51124211314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 51124211314400 its reverse (441311242115), we get a palindrome (51565522556515).

The spelling of 51124211314400 in words is "fifty-one trillion, one hundred twenty-four billion, two hundred eleven million, three hundred fourteen thousand, four hundred".