180838293090 has 384 divisors, whose sum is σ = 566442616320. Its totient is φ = 36578304000.

The previous prime is 180838293089. The next prime is 180838293091. The reversal of 180838293090 is 90392838081.

180838293090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180838293089) and next prime (180838293091).

It is not an unprimeable number, because it can be changed into a prime (180838293091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83681610 + ... + 83683770.

It is an arithmetic number, because the mean of its divisors is an integer number (1475110980).

Almost surely, 2^180838293090 is an apocalyptic number.

180838293090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180838293090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283221308160).

180838293090 is an abundant number, since it is smaller than the sum of its proper divisors (385604323230).

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

180838293090 is a wasteful number, since it uses less digits than its factorization.

180838293090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 180838293090 in words is "one hundred eighty billion, eight hundred thirty-eight million, two hundred ninety-three thousand, ninety".