12395820528 has 320 divisors, whose sum is σ = 44816020480. Its totient is φ = 3192763392.

The previous prime is 12395820517. The next prime is 12395820529. The reversal of 12395820528 is 82502859321.

12395820528 is a `hidden beast` number, since 12 + 3 + 9 + 582 + 0 + 52 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12395820529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686750 + ... + 1694082.

It is an arithmetic number, because the mean of its divisors is an integer number (140050064).

Almost surely, 2^12395820528 is an apocalyptic number.

12395820528 is a gapful number since it is divisible by the number (18) 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 12395820528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408010240).

12395820528 is an abundant number, since it is smaller than the sum of its proper divisors (32420199952).

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

12395820528 is a wasteful number, since it uses less digits than its factorization.

12395820528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12395820528 in words is "twelve billion, three hundred ninety-five million, eight hundred twenty thousand, five hundred twenty-eight".