51387979563648 has 576 divisors, whose sum is σ = 183647107500480. Its totient is φ = 13504882360320.

The previous prime is 51387979563637. The next prime is 51387979563703. The reversal of 51387979563648 is 84636597978315.

51387979563648 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 7 + 9 + 7 + 9 + 563 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385610308 + ... + 385743548.

It is an arithmetic number, because the mean of its divisors is an integer number (318831783855).

Almost surely, 2^{51387979563648} 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 51387979563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91823553750240).

51387979563648 is an abundant number, since it is smaller than the sum of its proper divisors (132259127936832).

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

51387979563648 is a wasteful number, since it uses less digits than its factorization.

51387979563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133577 (or 133549 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 81.

The spelling of 51387979563648 in words is "fifty-one trillion, three hundred eighty-seven billion, nine hundred seventy-nine million, five hundred sixty-three thousand, six hundred forty-eight".