51320505600 has 648 divisors, whose sum is σ = 225847544832. Its totient is φ = 10826956800.

The previous prime is 51320505589. The next prime is 51320505619. The reversal of 51320505600 is 650502315.

51320505600 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 0 + 50 + 5 + 600 = 666.

It is a congruent number.

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, 5236705 + ... + 5246495.

Almost surely, 2^51320505600 is an apocalyptic number.

51320505600 is a gapful number since it is divisible by the number (50) 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 51320505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112923772416).

51320505600 is an abundant number, since it is smaller than the sum of its proper divisors (174527039232).

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

51320505600 is a wasteful number, since it uses less digits than its factorization.

51320505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 51320505600 in words is "fifty-one billion, three hundred twenty million, five hundred five thousand, six hundred".