130268160000 has 840 divisors, whose sum is σ = 514978110504. Its totient is φ = 31457280000.

The previous prime is 130268159981. The next prime is 130268160017. The reversal of 130268160000 is 61862031.

130268160000 is a `hidden beast` number, since 1 + 30 + 26 + 8 + 1 + 600 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 506879872 + ... + 506880128.

Almost surely, 2^130268160000 is an apocalyptic number.

130268160000 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 130268160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257489055252).

130268160000 is an abundant number, since it is smaller than the sum of its proper divisors (384709950504).

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

130268160000 is an equidigital number, since it uses as much as digits as its factorization.

130268160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 130268160000 in words is "one hundred thirty billion, two hundred sixty-eight million, one hundred sixty thousand".