12578853024 has 144 divisors (see below), whose sum is σ = 38185318080. Its totient is φ = 3916200960.

The previous prime is 12578853017. The next prime is 12578853071. The reversal of 12578853024 is 42035887521.

12578853024 is a `hidden beast` number, since 1 + 2 + 578 + 8 + 53 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 372324 + ... + 404700.

It is an arithmetic number, because the mean of its divisors is an integer number (265175820).

Almost surely, 2^12578853024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12578853024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092659040).

12578853024 is an abundant number, since it is smaller than the sum of its proper divisors (25606465056).

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

12578853024 is a wasteful number, since it uses less digits than its factorization.

12578853024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32483 (or 32472 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12578853024 in words is "twelve billion, five hundred seventy-eight million, eight hundred fifty-three thousand, twenty-four".