5255896800 has 864 divisors, whose sum is σ = 23083522560. Its totient is φ = 1023590400.

The previous prime is 5255896771. The next prime is 5255896853. The reversal of 5255896800 is 86985525.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5255896800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21991081 + ... + 21991319.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2^5255896800 is an apocalyptic number.

5255896800 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 5255896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541761280).

5255896800 is an abundant number, since it is smaller than the sum of its proper divisors (17827625760).

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

5255896800 is a wasteful number, since it uses less digits than its factorization.

5255896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 5255896800 is about 72497.5640970095. The cubic root of 5255896800 is about 1738.6637911564.

The spelling of 5255896800 in words is "five billion, two hundred fifty-five million, eight hundred ninety-six thousand, eight hundred".