51274111200 has 576 divisors, whose sum is σ = 189184766400. Its totient is φ = 11973427200.

The previous prime is 51274111159. The next prime is 51274111219. The reversal of 51274111200 is 211147215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55192336 + ... + 55193264.

It is an arithmetic number, because the mean of its divisors is an integer number (328445775).

Almost surely, 2^51274111200 is an apocalyptic number.

51274111200 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 51274111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94592383200).

51274111200 is an abundant number, since it is smaller than the sum of its proper divisors (137910655200).

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

51274111200 is a wasteful number, since it uses less digits than its factorization.

51274111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 51274111200 its reverse (211147215), we get a palindrome (51485258415).

The spelling of 51274111200 in words is "fifty-one billion, two hundred seventy-four million, one hundred eleven thousand, two hundred".