51353660448 has 288 divisors, whose sum is σ = 154721286720. Its totient is φ = 16751370240.

The previous prime is 51353660441. The next prime is 51353660467. The reversal of 51353660448 is 84406635315.

51353660448 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 36 + 604 + 4 + 8 = 666.

51353660448 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 (288).

It is not an unprimeable number, because it can be changed into a prime (51353660441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125558868 + ... + 125559276.

It is an arithmetic number, because the mean of its divisors is an integer number (537226690).

Almost surely, 2^51353660448 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 51353660448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77360643360).

51353660448 is an abundant number, since it is smaller than the sum of its proper divisors (103367626272).

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

51353660448 is a wasteful number, since it uses less digits than its factorization.

51353660448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 51353660448 in words is "fifty-one billion, three hundred fifty-three million, six hundred sixty thousand, four hundred forty-eight".