8352153600 has 360 divisors, whose sum is σ = 31594727808. Its totient is φ = 1907097600.

The previous prime is 8352153571. The next prime is 8352153653. The reversal of 8352153600 is 63512538.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601115 + ... + 8602085.

Almost surely, 2^8352153600 is an apocalyptic number.

8352153600 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 8352153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797363904).

8352153600 is an abundant number, since it is smaller than the sum of its proper divisors (23242574208).

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

8352153600 is an equidigital number, since it uses as much as digits as its factorization.

8352153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 8352153600 is about 91390.1176276735. The cubic root of 8352153600 is about 2028.9257665005.

The spelling of 8352153600 in words is "eight billion, three hundred fifty-two million, one hundred fifty-three thousand, six hundred".