130089279595392 has 320 divisors, whose sum is σ = 419227389540960. Its totient is φ = 39806316933120.

The previous prime is 130089279595369. The next prime is 130089279595477. The reversal of 130089279595392 is 293595972980031.

130089279595392 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 8 + 9 + 27 + 9 + 595 + 3 + 9 + 2 = 666.

130089279595392 is digitally balanced in base 3, 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 130089279595392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21729693 + ... + 27062115.

Almost surely, 2^{130089279595392} is an apocalyptic number.

130089279595392 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 130089279595392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209613694770480).

130089279595392 is an abundant number, since it is smaller than the sum of its proper divisors (289138109945568).

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

130089279595392 is a wasteful number, since it uses less digits than its factorization.

130089279595392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332643 (or 5332622 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 130089279595392 in words is "one hundred thirty trillion, eighty-nine billion, two hundred seventy-nine million, five hundred ninety-five thousand, three hundred ninety-two".