5825520000 has 800 divisors, whose sum is σ = 23133844800. Its totient is φ = 1451520000.

The previous prime is 5825519957. The next prime is 5825520047. The reversal of 5825520000 is 255285.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 187919985 + ... + 187920015.

It is an arithmetic number, because the mean of its divisors is an integer number (28917306).

Almost surely, 2^5825520000 is an apocalyptic number.

5825520000 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 5825520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566922400).

5825520000 is an abundant number, since it is smaller than the sum of its proper divisors (17308324800).

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

5825520000 is an equidigital number, since it uses as much as digits as its factorization.

5825520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5825520000 is about 76325.0941696111. The cubic root of 5825520000 is about 1799.3330862672. Note that the first 3 decimals are identical.

Adding to 5825520000 its reverse (255285), we get a palindrome (5825775285).

It can be divided in two parts, 5825 and 520000, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 5825520000 in words is "five billion, eight hundred twenty-five million, five hundred twenty thousand".