5282147635200 has 780 divisors, whose sum is σ = 20198493308928. Its totient is φ = 1363068518400.

The previous prime is 5282147635199. The next prime is 5282147635279. The reversal of 5282147635200 is 25367412825.

5282147635200 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 1 + 4 + 7 + 635 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 257116129 + ... + 257136671.

Almost surely, 2^{5282147635200} is an apocalyptic number.

5282147635200 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 5282147635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099246654464).

5282147635200 is an abundant number, since it is smaller than the sum of its proper divisors (14916345673728).

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

5282147635200 is a wasteful number, since it uses less digits than its factorization.

5282147635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620 (or 20584 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5282147635200 in words is "five trillion, two hundred eighty-two billion, one hundred forty-seven million, six hundred thirty-five thousand, two hundred".