180576729216 has 224 divisors, whose sum is σ = 580861012620. Its totient is φ = 55561697280.

The previous prime is 180576729199. The next prime is 180576729227. The reversal of 180576729216 is 612927675081.

It can be written as a sum of positive squares in 2 ways, for example, as 145343937600 + 35232791616 = 381240^2 + 187704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1138626 + ... + 1287486.

Almost surely, 2^180576729216 is an apocalyptic number.

180576729216 is a gapful number since it is divisible by the number (16) 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 180576729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290430506310).

180576729216 is an abundant number, since it is smaller than the sum of its proper divisors (400284283404).

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

180576729216 is an equidigital number, since it uses as much as digits as its factorization.

180576729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148906 (or 148879 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 180576729216 in words is "one hundred eighty billion, five hundred seventy-six million, seven hundred twenty-nine thousand, two hundred sixteen".