51453670752 has 288 divisors, whose sum is σ = 163657428480. Its totient is φ = 15203036160.

The previous prime is 51453670717. The next prime is 51453670777. The reversal of 51453670752 is 25707635415.

It is a happy number.

51453670752 is a `hidden beast` number, since 514 + 5 + 3 + 67 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 51453670698 and 51453670707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20771338 + ... + 20773814.

It is an arithmetic number, because the mean of its divisors is an integer number (568254960).

Almost surely, 2^51453670752 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 51453670752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81828714240).

51453670752 is an abundant number, since it is smaller than the sum of its proper divisors (112203757728).

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

51453670752 is a wasteful number, since it uses less digits than its factorization.

51453670752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 51453670752 in words is "fifty-one billion, four hundred fifty-three million, six hundred seventy thousand, seven hundred fifty-two".