51005450016 has 144 divisors (see below), whose sum is σ = 146908452600. Its totient is φ = 16784216064.

The previous prime is 51005449997. The next prime is 51005450021. The reversal of 51005450016 is 61005450015.

It is a happy number.

51005450016 is a `hidden beast` number, since 5 + 100 + 54 + 500 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31905104400 + 19100345616 = 178620^2 + 138204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22478130 + ... + 22480398.

Almost surely, 2^51005450016 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 51005450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73454226300).

51005450016 is an abundant number, since it is smaller than the sum of its proper divisors (95903002584).

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

51005450016 is a wasteful number, since it uses less digits than its factorization.

51005450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Subtracting 51005450016 from its reverse (61005450015), we obtain a palindrome (9999999999).

The spelling of 51005450016 in words is "fifty-one billion, five million, four hundred fifty thousand, sixteen".