12765628260 has 864 divisors, whose sum is σ = 52275664896. Its totient is φ = 2463436800.

The previous prime is 12765628181. The next prime is 12765628303. The reversal of 12765628260 is 6282656721.

12765628260 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 562 + 82 + 6 + 0 = 666.

It is a super-2 number, since 2×12765628260² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174871584 + ... + 174871656.

Almost surely, 2^12765628260 is an apocalyptic number.

12765628260 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 12765628260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26137832448).

12765628260 is an abundant number, since it is smaller than the sum of its proper divisors (39510036636).

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

12765628260 is a wasteful number, since it uses less digits than its factorization.

12765628260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12765628260 in words is "twelve billion, seven hundred sixty-five million, six hundred twenty-eight thousand, two hundred sixty".