8252160000 has 480 divisors, whose sum is σ = 31521409920. Its totient is φ = 1880064000.

The previous prime is 8252159999. The next prime is 8252160001. The reversal of 8252160000 is 612528.

It is an interprime number because it is at equal distance from previous prime (8252159999) and next prime (8252160001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8252160001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26879847 + ... + 26880153.

It is an arithmetic number, because the mean of its divisors is an integer number (65669604).

Almost surely, 2^8252160000 is an apocalyptic number.

8252160000 is a gapful number since it is divisible by the number (80) 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 8252160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760704960).

8252160000 is an abundant number, since it is smaller than the sum of its proper divisors (23269249920).

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

8252160000 is an equidigital number, since it uses as much as digits as its factorization.

8252160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8252160000 is about 90841.4002534087. The cubic root of 8252160000 is about 2020.7963399423.

Adding to 8252160000 its reverse (612528), we get a palindrome (8252772528).

The spelling of 8252160000 in words is "eight billion, two hundred fifty-two million, one hundred sixty thousand".