130686260256 has 288 divisors, whose sum is σ = 403326181440. Its totient is φ = 39998748672.

The previous prime is 130686260251. The next prime is 130686260279. The reversal of 130686260256 is 652062686031.

130686260256 is a `hidden beast` number, since 1 + 30 + 6 + 8 + 6 + 2 + 602 + 5 + 6 = 666.

130686260256 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (130686260251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59320851 + ... + 59323053.

It is an arithmetic number, because the mean of its divisors is an integer number (1400438130).

Almost surely, 2^130686260256 is an apocalyptic number.

130686260256 is a gapful number since it is divisible by the number (16) 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 130686260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201663090720).

130686260256 is an abundant number, since it is smaller than the sum of its proper divisors (272639921184).

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

130686260256 is a wasteful number, since it uses less digits than its factorization.

130686260256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 130686260256 in words is "one hundred thirty billion, six hundred eighty-six million, two hundred sixty thousand, two hundred fifty-six".