51447632765760 has 2688 divisors, whose sum is σ = 234906713653248. Its totient is φ = 10023616512000.

The previous prime is 51447632765671. The next prime is 51447632765761. The reversal of 51447632765760 is 6756723674415.

51447632765760 is a `hidden beast` number, since 5 + 1 + 4 + 476 + 32 + 7 + 65 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51447632765761) 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 383 ways as a sum of consecutive naturals, for example, 47070111774 + ... + 47070112866.

It is an arithmetic number, because the mean of its divisors is an integer number (87390890496).

Almost surely, 2^{51447632765760} 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 51447632765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117453356826624).

51447632765760 is an abundant number, since it is smaller than the sum of its proper divisors (183459080887488).

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

51447632765760 is a wasteful number, since it uses less digits than its factorization.

51447632765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 51447632765760 in words is "fifty-one trillion, four hundred forty-seven billion, six hundred thirty-two million, seven hundred sixty-five thousand, seven hundred sixty".