12853890624 has 56 divisors (see below), whose sum is σ = 34038649728. Its totient is φ = 4280926720.

The previous prime is 12853890619. The next prime is 12853890629. The reversal of 12853890624 is 42609835821.

12853890624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 113375²-1.

It is an interprime number because it is at equal distance from previous prime (12853890619) and next prime (12853890629).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12853890629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198409 + ... + 255095.

Almost surely, 2^12853890624 is an apocalyptic number.

It is an amenable number.

12853890624 is an abundant number, since it is smaller than the sum of its proper divisors (21184759104).

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

12853890624 is a wasteful number, since it uses less digits than its factorization.

12853890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57883 (or 57873 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 12853890624 in words is "twelve billion, eight hundred fifty-three million, eight hundred ninety thousand, six hundred twenty-four".