51447162314240 has 640 divisors, whose sum is σ = 162030707942400. Its totient is φ = 15177787637760.

The previous prime is 51447162314213. The next prime is 51447162314257. The reversal of 51447162314240 is 4241326174415.

51447162314240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 51447162314191 and 51447162314200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4602943532 + ... + 4602954708.

It is an arithmetic number, because the mean of its divisors is an integer number (253172981160).

Almost surely, 2^{51447162314240} 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 51447162314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81015353971200).

51447162314240 is an abundant number, since it is smaller than the sum of its proper divisors (110583545628160).

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

51447162314240 is a wasteful number, since it uses less digits than its factorization.

51447162314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

Adding to 51447162314240 its reverse (4241326174415), we get a palindrome (55688488488655).

The spelling of 51447162314240 in words is "fifty-one trillion, four hundred forty-seven billion, one hundred sixty-two million, three hundred fourteen thousand, two hundred forty".