51742048320 has 336 divisors, whose sum is σ = 185026645440. Its totient is φ = 13763229696.

The previous prime is 51742048301. The next prime is 51742048321. The reversal of 51742048320 is 2384024715.

It is a happy number.

51742048320 is a `hidden beast` number, since 5 + 174 + 2 + 0 + 483 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51742048321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50776771 + ... + 50777789.

It is an arithmetic number, because the mean of its divisors is an integer number (550674540).

Almost surely, 2^51742048320 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 51742048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92513322720).

51742048320 is an abundant number, since it is smaller than the sum of its proper divisors (133284597120).

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

51742048320 is a wasteful number, since it uses less digits than its factorization.

51742048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 51742048320 in words is "fifty-one billion, seven hundred forty-two million, forty-eight thousand, three hundred twenty".