51743724480 has 896 divisors, whose sum is σ = 225717811200. Its totient is φ = 10892869632.

The previous prime is 51743724479. The next prime is 51743724509. The reversal of 51743724480 is 8442734715.

51743724480 is a `hidden beast` number, since 5 + 174 + 37 + 2 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 42516832 + ... + 42518048.

It is an arithmetic number, because the mean of its divisors is an integer number (251917200).

Almost surely, 2^51743724480 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 51743724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112858905600).

51743724480 is an abundant number, since it is smaller than the sum of its proper divisors (173974086720).

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

51743724480 is a wasteful number, since it uses less digits than its factorization.

51743724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 51743724480 in words is "fifty-one billion, seven hundred forty-three million, seven hundred twenty-four thousand, four hundred eighty".