51973255782720 has 1792 divisors, whose sum is σ = 211726584115200. Its totient is φ = 12068081270784.

The previous prime is 51973255782697. The next prime is 51973255782733. The reversal of 51973255782720 is 2728755237915.

51973255782720 is a `hidden beast` number, since 5 + 1 + 9 + 7 + 3 + 2 + 557 + 8 + 2 + 72 + 0 = 666.

51973255782720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9720075087 + ... + 9720080433.

It is an arithmetic number, because the mean of its divisors is an integer number (118150995600).

Almost surely, 2^{51973255782720} 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 51973255782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105863292057600).

51973255782720 is an abundant number, since it is smaller than the sum of its proper divisors (159753328332480).

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

51973255782720 is a wasteful number, since it uses less digits than its factorization.

51973255782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 51973255782720 in words is "fifty-one trillion, nine hundred seventy-three billion, two hundred fifty-five million, seven hundred eighty-two thousand, seven hundred twenty".