180812016504 has 128 divisors (see below), whose sum is σ = 574359552000. Its totient is φ = 51628793472.

The previous prime is 180812016487. The next prime is 180812016527. The reversal of 180812016504 is 405610218081.

180812016504 is a `hidden beast` number, since 18 + 0 + 8 + 120 + 16 + 504 = 666.

180812016504 is digitally balanced in base 2, 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 2478502 + ... + 2550410.

It is an arithmetic number, because the mean of its divisors is an integer number (4487184000).

Almost surely, 2^180812016504 is an apocalyptic number.

180812016504 is a gapful number since it is divisible by the number (14) 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 180812016504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287179776000).

180812016504 is an abundant number, since it is smaller than the sum of its proper divisors (393547535496).

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

180812016504 is a wasteful number, since it uses less digits than its factorization.

180812016504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73594 (or 73584 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 180812016504 in words is "one hundred eighty billion, eight hundred twelve million, sixteen thousand, five hundred four".