12858520320 has 432 divisors, whose sum is σ = 45916416000. Its totient is φ = 3321077760.

The previous prime is 12858520307. The next prime is 12858520331. The reversal of 12858520320 is 2302585821.

12858520320 is a `hidden beast` number, since 1 + 28 + 585 + 20 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64615581 + ... + 64615779.

It is an arithmetic number, because the mean of its divisors is an integer number (106288000).

Almost surely, 2^12858520320 is an apocalyptic number.

12858520320 is a gapful number since it is divisible by the number (10) 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 12858520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208000).

12858520320 is an abundant number, since it is smaller than the sum of its proper divisors (33057895680).

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

12858520320 is a wasteful number, since it uses less digits than its factorization.

12858520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12858520320 in words is "twelve billion, eight hundred fifty-eight million, five hundred twenty thousand, three hundred twenty".