51987651910656 has 2112 divisors, whose sum is σ = 193203303874560. Its totient is φ = 12052758528000.

The previous prime is 51987651910589. The next prime is 51987651910741. The reversal of 51987651910656 is 65601915678915.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108533719825 + ... + 108533720303.

Almost surely, 2^{51987651910656} is an apocalyptic number.

51987651910656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51987651910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96601651937280).

51987651910656 is an abundant number, since it is smaller than the sum of its proper divisors (141215651963904).

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

51987651910656 is a wasteful number, since it uses less digits than its factorization.

51987651910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 69.

The spelling of 51987651910656 in words is "fifty-one trillion, nine hundred eighty-seven billion, six hundred fifty-one million, nine hundred ten thousand, six hundred fifty-six".