181006721280 has 2160 divisors, whose sum is σ = 852614864640. Its totient is φ = 36229939200.

The previous prime is 181006721267. The next prime is 181006721299. The reversal of 181006721280 is 82127600181.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2291224281 + ... + 2291224359.

It is an arithmetic number, because the mean of its divisors is an integer number (394729104).

Almost surely, 2^181006721280 is an apocalyptic number.

181006721280 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 181006721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426307432320).

181006721280 is an abundant number, since it is smaller than the sum of its proper divisors (671608143360).

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

181006721280 is a wasteful number, since it uses less digits than its factorization.

181006721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 181006721280 in words is "one hundred eighty-one billion, six million, seven hundred twenty-one thousand, two hundred eighty".