6525888000 has 320 divisors, whose sum is σ = 22252950720. Its totient is φ = 1695744000.

The previous prime is 6525887981. The next prime is 6525888001. The reversal of 6525888000 is 8885256.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6525888001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7871586 + ... + 7872414.

It is an arithmetic number, because the mean of its divisors is an integer number (69540471).

Almost surely, 2^6525888000 is an apocalyptic number.

6525888000 is a gapful number since it is divisible by the number (60) 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 6525888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126475360).

6525888000 is an abundant number, since it is smaller than the sum of its proper divisors (15727062720).

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

6525888000 is an equidigital number, since it uses as much as digits as its factorization.

6525888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 6525888000 is about 80782.9685020302. The cubic root of 6525888000 is about 1868.7299181669.

The spelling of 6525888000 in words is "six billion, five hundred twenty-five million, eight hundred eighty-eight thousand".