5825260800 has 540 divisors, whose sum is σ = 22840124076. Its totient is φ = 1459814400.

The previous prime is 5825260799. The next prime is 5825260801. The reversal of 5825260800 is 80625285.

5825260800 is a `hidden beast` number, since 58 + 2 + 526 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5825260799) and next prime (5825260801).

It can be written as a sum of positive squares in 6 ways, for example, as 153363456 + 5671897344 = 12384^2 + 75312^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5825260801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812470 + ... + 8813130.

Almost surely, 2^5825260800 is an apocalyptic number.

5825260800 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 5825260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420062038).

5825260800 is an abundant number, since it is smaller than the sum of its proper divisors (17014863276).

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

5825260800 is a wasteful number, since it uses less digits than its factorization.

5825260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5825260800 is about 76323.3961508527. The cubic root of 5825260800 is about 1799.3063994334.

The spelling of 5825260800 in words is "five billion, eight hundred twenty-five million, two hundred sixty thousand, eight hundred".