12860290560 has 320 divisors, whose sum is σ = 46885874112. Its totient is φ = 2979004416.

The previous prime is 12860290501. The next prime is 12860290571. The reversal of 12860290560 is 6509206821.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12860290560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1693492 + ... + 1701068.

Almost surely, 2^12860290560 is an apocalyptic number.

12860290560 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 12860290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442937056).

12860290560 is an abundant number, since it is smaller than the sum of its proper divisors (34025583552).

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

12860290560 is a wasteful number, since it uses less digits than its factorization.

12860290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7633 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 12860290560 in words is "twelve billion, eight hundred sixty million, two hundred ninety thousand, five hundred sixty".