181379278080 has 2304 divisors, whose sum is σ = 890072064000. Its totient is φ = 34464890880.

The previous prime is 181379278063. The next prime is 181379278103. The reversal of 181379278080 is 80872973181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1695133387 + ... + 1695133493.

It is an arithmetic number, because the mean of its divisors is an integer number (386316000).

Almost surely, 2^181379278080 is an apocalyptic number.

181379278080 is a gapful number since it is divisible by the number (10) 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 181379278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032000).

181379278080 is an abundant number, since it is smaller than the sum of its proper divisors (708692785920).

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

181379278080 is a wasteful number, since it uses less digits than its factorization.

181379278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 181379278080 in words is "one hundred eighty-one billion, three hundred seventy-nine million, two hundred seventy-eight thousand, eighty".