51384420360 has 1152 divisors, whose sum is σ = 223152209280. Its totient is φ = 10534551552.

The previous prime is 51384420343. The next prime is 51384420377. The reversal of 51384420360 is 6302448315.

51384420360 is a `hidden beast` number, since 513 + 84 + 4 + 2 + 0 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (51384420343) and next prime (51384420377).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266240424 + ... + 266240616.

It is an arithmetic number, because the mean of its divisors is an integer number (193708515).

Almost surely, 2^51384420360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51384420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111576104640).

51384420360 is an abundant number, since it is smaller than the sum of its proper divisors (171767788920).

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

51384420360 is a wasteful number, since it uses less digits than its factorization.

51384420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 51384420360 its reverse (6302448315), we get a palindrome (57686868675).

The spelling of 51384420360 in words is "fifty-one billion, three hundred eighty-four million, four hundred twenty thousand, three hundred sixty".