51493347360 has 864 divisors, whose sum is σ = 223439776560. Its totient is φ = 10701766656.

The previous prime is 51493347337. The next prime is 51493347407. The reversal of 51493347360 is 6374339415.

51493347360 is a `hidden beast` number, since 5 + 1 + 493 + 34 + 73 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11760101136 + 39733246224 = 108444^2 + 199332^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 66961056 + ... + 66961824.

Almost surely, 2^51493347360 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 51493347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111719888280).

51493347360 is an abundant number, since it is smaller than the sum of its proper divisors (171946429200).

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

51493347360 is a wasteful number, since it uses less digits than its factorization.

51493347360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 51493347360 in words is "fifty-one billion, four hundred ninety-three million, three hundred forty-seven thousand, three hundred sixty".