51277975424352 has 480 divisors, whose sum is σ = 160386261235200. Its totient is φ = 16026399700992.

The previous prime is 51277975424321. The next prime is 51277975424353. The reversal of 51277975424352 is 25342457977215.

51277975424352 is a `hidden beast` number, since 5 + 1 + 2 + 77 + 97 + 5 + 42 + 435 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51277975424352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51277975424353) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1916275549 + ... + 1916302307.

It is an arithmetic number, because the mean of its divisors is an integer number (334138044240).

Almost surely, 2^{51277975424352} 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 51277975424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80193130617600).

51277975424352 is an abundant number, since it is smaller than the sum of its proper divisors (109108285810848).

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

51277975424352 is a wasteful number, since it uses less digits than its factorization.

51277975424352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27200 (or 27183 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 51277975424352 in words is "fifty-one trillion, two hundred seventy-seven billion, nine hundred seventy-five million, four hundred twenty-four thousand, three hundred fifty-two".