180872609399352 has 384 divisors, whose sum is σ = 560980585751040. Its totient is φ = 52218551024640.

The previous prime is 180872609399341. The next prime is 180872609399359. The reversal of 180872609399352 is 253993906278081.

180872609399352 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 7 + 2 + 609 + 3 + 9 + 9 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180872609399359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7086638863 + ... + 7086664385.

It is an arithmetic number, because the mean of its divisors is an integer number (1460886942060).

Almost surely, 2^{180872609399352} is an apocalyptic number.

180872609399352 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 180872609399352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280490292875520).

180872609399352 is an abundant number, since it is smaller than the sum of its proper divisors (380107976351688).

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

180872609399352 is a wasteful number, since it uses less digits than its factorization.

180872609399352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31835 (or 31828 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 180872609399352 in words is "one hundred eighty trillion, eight hundred seventy-two billion, six hundred nine million, three hundred ninety-nine thousand, three hundred fifty-two".