180794283625872 has 800 divisors, whose sum is σ = 635359720089600. Its totient is φ = 48482451763200.

The previous prime is 180794283625849. The next prime is 180794283625873. The reversal of 180794283625872 is 278526382497081.

180794283625872 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 9 + 4 + 2 + 8 + 36 + 2 + 587 + 2 = 666.

180794283625872 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 180794283625872.

It is not an unprimeable number, because it can be changed into a prime (180794283625873) 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, 14248104904 + ... + 14248117592.

It is an arithmetic number, because the mean of its divisors is an integer number (794199650112).

It is a 1-persistent number, because it is pandigital, but 2⋅180794283625872 = 361588567251744 is not.

Almost surely, 2^{180794283625872} is an apocalyptic number.

180794283625872 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 180794283625872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317679860044800).

180794283625872 is an abundant number, since it is smaller than the sum of its proper divisors (454565436463728).

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

180794283625872 is a wasteful number, since it uses less digits than its factorization.

180794283625872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13497 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 180794283625872 in words is "one hundred eighty trillion, seven hundred ninety-four billion, two hundred eighty-three million, six hundred twenty-five thousand, eight hundred seventy-two".