51289604352 has 720 divisors, whose sum is σ = 182703185280. Its totient is φ = 14008909824.

The previous prime is 51289604297. The next prime is 51289604357. The reversal of 51289604352 is 25340698215.

51289604352 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 9 + 604 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51289604298 and 51289604307.

It is not an unprimeable number, because it can be changed into a prime (51289604357) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 453890248 + ... + 453890360.

It is an arithmetic number, because the mean of its divisors is an integer number (253754424).

Almost surely, 2^51289604352 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 51289604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91351592640).

51289604352 is an abundant number, since it is smaller than the sum of its proper divisors (131413580928).

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

51289604352 is a wasteful number, since it uses less digits than its factorization.

51289604352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 51289604352 in words is "fifty-one billion, two hundred eighty-nine million, six hundred four thousand, three hundred fifty-two".