180769898100 has 288 divisors, whose sum is σ = 580804826112. Its totient is φ = 43403184000.

The previous prime is 180769898081. The next prime is 180769898107. The reversal of 180769898100 is 1898967081.

It is a super-2 number, since 2×180769898100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180769898107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42722985 + ... + 42727215.

It is an arithmetic number, because the mean of its divisors is an integer number (2016683424).

Almost surely, 2^180769898100 is an apocalyptic number.

180769898100 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 180769898100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290402413056).

180769898100 is an abundant number, since it is smaller than the sum of its proper divisors (400034928012).

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

180769898100 is a wasteful number, since it uses less digits than its factorization.

180769898100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 57.

The spelling of 180769898100 in words is "one hundred eighty billion, seven hundred sixty-nine million, eight hundred ninety-eight thousand, one hundred".