181300538880 has 480 divisors, whose sum is σ = 670576008960. Its totient is φ = 45168721920.

The previous prime is 181300538873. The next prime is 181300538891. The reversal of 181300538880 is 88835003181.

It is a happy number.

181300538880 is a `hidden beast` number, since 1 + 8 + 1 + 30 + 0 + 538 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20708584 + ... + 20717336.

It is an arithmetic number, because the mean of its divisors is an integer number (1397033352).

Almost surely, 2^181300538880 is an apocalyptic number.

181300538880 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 181300538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335288004480).

181300538880 is an abundant number, since it is smaller than the sum of its proper divisors (489275470080).

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

181300538880 is a wasteful number, since it uses less digits than its factorization.

181300538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 181300538880 in words is "one hundred eighty-one billion, three hundred million, five hundred thirty-eight thousand, eight hundred eighty".