8252352000 has 240 divisors, whose sum is σ = 29725499232. Its totient is φ = 2200473600.

The previous prime is 8252351977. The next prime is 8252352019. The reversal of 8252352000 is 2532528.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568837 + ... + 583163.

Almost surely, 2^8252352000 is an apocalyptic number.

8252352000 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 8252352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14862749616).

8252352000 is an abundant number, since it is smaller than the sum of its proper divisors (21473147232).

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

8252352000 is a wasteful number, since it uses less digits than its factorization.

8252352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14366 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 8252352000 is about 90842.4570341424. The cubic root of 8252352000 is about 2020.8120121981.

Adding to 8252352000 its reverse (2532528), we get a palindrome (8254884528).

The spelling of 8252352000 in words is "eight billion, two hundred fifty-two million, three hundred fifty-two thousand".