12890528568 has 160 divisors (see below), whose sum is σ = 39034261200. Its totient is φ = 3960534528.

The previous prime is 12890528557. The next prime is 12890528591. The reversal of 12890528568 is 86582509821.

It is a happy number.

12890528568 is a `hidden beast` number, since 1 + 28 + 9 + 0 + 52 + 8 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441396 + ... + 469692.

Almost surely, 2^12890528568 is an apocalyptic number.

12890528568 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 12890528568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517130600).

12890528568 is an abundant number, since it is smaller than the sum of its proper divisors (26143732632).

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

12890528568 is a wasteful number, since it uses less digits than its factorization.

12890528568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28371 (or 28358 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 12890528568 in words is "twelve billion, eight hundred ninety million, five hundred twenty-eight thousand, five hundred sixty-eight".