180100730880 has 1872 divisors, whose sum is σ = 825605619840. Its totient is φ = 37059821568.

The previous prime is 180100730879. The next prime is 180100730881. The reversal of 180100730880 is 88037001081.

It is an interprime number because it is at equal distance from previous prime (180100730879) and next prime (180100730881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (180100730881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7830466549 + ... + 7830466571.

Almost surely, 2^180100730880 is an apocalyptic number.

180100730880 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 180100730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412802809920).

180100730880 is an abundant number, since it is smaller than the sum of its proper divisors (645504888960).

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

180100730880 is a wasteful number, since it uses less digits than its factorization.

180100730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

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

The spelling of 180100730880 in words is "one hundred eighty billion, one hundred million, seven hundred thirty thousand, eight hundred eighty".