13058256960 has 336 divisors, whose sum is σ = 52382928000. Its totient is φ = 2984518656.

The previous prime is 13058256943. The next prime is 13058257019. The reversal of 13058256960 is 6965285031.

13058256960 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 82 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981231 + ... + 994449.

Almost surely, 2^13058256960 is an apocalyptic number.

13058256960 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 13058256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191464000).

13058256960 is an abundant number, since it is smaller than the sum of its proper divisors (39324671040).

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

13058256960 is a wasteful number, since it uses less digits than its factorization.

13058256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13058256960 in words is "thirteen billion, fifty-eight million, two hundred fifty-six thousand, nine hundred sixty".