5282251914600 has 528 divisors, whose sum is σ = 18493537533900. Its totient is φ = 1403117614080.

The previous prime is 5282251914593. The next prime is 5282251914619. The reversal of 5282251914600 is 64191522825.

5282251914600 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 25 + 1 + 9 + 14 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4563542916 + 5277688371684 = 67554^2 + 2297322^2 .

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 131 ways as a sum of consecutive naturals, for example, 3696466686 + ... + 3696468114.

Almost surely, 2^{5282251914600} is an apocalyptic number.

5282251914600 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 5282251914600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246768766950).

5282251914600 is an abundant number, since it is smaller than the sum of its proper divisors (13211285619300).

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

5282251914600 is a wasteful number, since it uses less digits than its factorization.

5282251914600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5282251914600 in words is "five trillion, two hundred eighty-two billion, two hundred fifty-one million, nine hundred fourteen thousand, six hundred".