130984269606792 has 640 divisors, whose sum is σ = 430234010173440. Its totient is φ = 36455074306560.

The previous prime is 130984269606767. The next prime is 130984269606793. The reversal of 130984269606792 is 297606962489031.

130984269606792 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 8 + 4 + 2 + 6 + 9 + 606 + 7 + 9 + 2 = 666.

130984269606792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 130984269606792.

It is not an unprimeable number, because it can be changed into a prime (130984269606793) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47962016067 + ... + 47962018797.

It is an arithmetic number, because the mean of its divisors is an integer number (672240640896).

Almost surely, 2^{130984269606792} is an apocalyptic number.

130984269606792 is a gapful number since it is divisible by the number (12) 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 130984269606792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215117005086720).

130984269606792 is an abundant number, since it is smaller than the sum of its proper divisors (299249740566648).

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

130984269606792 is a wasteful number, since it uses less digits than its factorization.

130984269606792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 130984269606792 in words is "one hundred thirty trillion, nine hundred eighty-four billion, two hundred sixty-nine million, six hundred six thousand, seven hundred ninety-two".