130068617011200 has 4032 divisors, whose sum is σ = 596066405975040. Its totient is φ = 27450031472640.

The previous prime is 130068617011163. The next prime is 130068617011259. The reversal of 130068617011200 is 2110716860031.

130068617011200 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 8 + 617 + 0 + 11 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 284614041372 + ... + 284614041828.

Almost surely, 2^{130068617011200} is an apocalyptic number.

130068617011200 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 130068617011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298033202987520).

130068617011200 is an abundant number, since it is smaller than the sum of its proper divisors (465997788963840).

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

130068617011200 is an equidigital number, since it uses as much as digits as its factorization.

130068617011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 130068617011200 in words is "one hundred thirty trillion, sixty-eight billion, six hundred seventeen million, eleven thousand, two hundred".