5257449225600 has 1152 divisors, whose sum is σ = 20888183383200. Its totient is φ = 1154118451200.

The previous prime is 5257449225593. The next prime is 5257449225607. The reversal of 5257449225600 is 65229447525.

It is an interprime number because it is at equal distance from previous prime (5257449225593) and next prime (5257449225607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257449225607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 800339116 + ... + 800345684.

Almost surely, 2^{5257449225600} is an apocalyptic number.

5257449225600 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 5257449225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444091691600).

5257449225600 is an abundant number, since it is smaller than the sum of its proper divisors (15630734157600).

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

5257449225600 is a wasteful number, since it uses less digits than its factorization.

5257449225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 5257449225600 in words is "five trillion, two hundred fifty-seven billion, four hundred forty-nine million, two hundred twenty-five thousand, six hundred".