5256386800 has 180 divisors, whose sum is σ = 14766126336. Its totient is φ = 1792896000.

The previous prime is 5256386797. The next prime is 5256386867. The reversal of 5256386800 is 86836525.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4566225 + ... + 4567375.

Almost surely, 2^5256386800 is an apocalyptic number.

5256386800 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 5256386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383063168).

5256386800 is an abundant number, since it is smaller than the sum of its proper divisors (9509739536).

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

5256386800 is a wasteful number, since it uses less digits than its factorization.

5256386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 5256386800 is about 72500.9434421374. The cubic root of 5256386800 is about 1738.7178205521.

The spelling of 5256386800 in words is "five billion, two hundred fifty-six million, three hundred eighty-six thousand, eight hundred".