5251188682800 has 360 divisors, whose sum is σ = 18384381377856. Its totient is φ = 1387954114560.

The previous prime is 5251188682771. The next prime is 5251188682807. The reversal of 5251188682800 is 82868811525.

5251188682800 is a `hidden beast` number, since 525 + 1 + 18 + 86 + 8 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (5251188682807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333888537 + ... + 333904263.

Almost surely, 2^{5251188682800} is an apocalyptic number.

5251188682800 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 5251188682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192190688928).

5251188682800 is an abundant number, since it is smaller than the sum of its proper divisors (13133192695056).

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

5251188682800 is a wasteful number, since it uses less digits than its factorization.

5251188682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16565 (or 16551 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 5251188682800 in words is "five trillion, two hundred fifty-one billion, one hundred eighty-eight million, six hundred eighty-two thousand, eight hundred".