181789416960 has 240 divisors, whose sum is σ = 590073389136. Its totient is φ = 47744581632.

The previous prime is 181789416929. The next prime is 181789416967. The reversal of 181789416960 is 69614987181.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 181789416894 and 181789416903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181789416967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34472884 + ... + 34478156.

Almost surely, 2^181789416960 is an apocalyptic number.

181789416960 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 181789416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295036694568).

181789416960 is an abundant number, since it is smaller than the sum of its proper divisors (408283972176).

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

181789416960 is an frugal number, since it uses more digits than its factorization.

181789416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 181789416960 in words is "one hundred eighty-one billion, seven hundred eighty-nine million, four hundred sixteen thousand, nine hundred sixty".