13061468160 has 832 divisors, whose sum is σ = 52841779200. Its totient is φ = 3036413952.

The previous prime is 13061468153. The next prime is 13061468177. The reversal of 13061468160 is 6186416031.

13061468160 is a `hidden beast` number, since 1 + 30 + 6 + 1 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165335001 + ... + 165335079.

Almost surely, 2^13061468160 is an apocalyptic number.

13061468160 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 13061468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26420889600).

13061468160 is an abundant number, since it is smaller than the sum of its proper divisors (39780311040).

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

13061468160 is a wasteful number, since it uses less digits than its factorization.

13061468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13061468160 in words is "thirteen billion, sixty-one million, four hundred sixty-eight thousand, one hundred sixty".