5257488688200 has 576 divisors, whose sum is σ = 20287720252800. Its totient is φ = 1195239628800.

The previous prime is 5257488688187. The next prime is 5257488688241. The reversal of 5257488688200 is 28868847525.

5257488688200 is a `hidden beast` number, since 5 + 2 + 57 + 488 + 6 + 88 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 2432895120 + ... + 2432897280.

It is an arithmetic number, because the mean of its divisors is an integer number (35221736550).

Almost surely, 2^{5257488688200} is an apocalyptic number.

5257488688200 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 5257488688200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143860126400).

5257488688200 is an abundant number, since it is smaller than the sum of its proper divisors (15030231564600).

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

5257488688200 is a wasteful number, since it uses less digits than its factorization.

5257488688200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 5257488688200 in words is "five trillion, two hundred fifty-seven billion, four hundred eighty-eight million, six hundred eighty-eight thousand, two hundred".