51303605760 has 960 divisors, whose sum is σ = 204068367360. Its totient is φ = 11802378240.

The previous prime is 51303605741. The next prime is 51303605779. The reversal of 51303605760 is 6750630315.

It is a happy number.

51303605760 is a `hidden beast` number, since 51 + 3 + 0 + 36 + 0 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51303605741) and next prime (51303605779).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 702789084 + ... + 702789156.

It is an arithmetic number, because the mean of its divisors is an integer number (212571216).

Almost surely, 2^51303605760 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 51303605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102034183680).

51303605760 is an abundant number, since it is smaller than the sum of its proper divisors (152764761600).

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

51303605760 is a wasteful number, since it uses less digits than its factorization.

51303605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 51303605760 in words is "fifty-one billion, three hundred three million, six hundred five thousand, seven hundred sixty".