180820837120 has 576 divisors, whose sum is σ = 572613027840. Its totient is φ = 53054668800.

The previous prime is 180820837103. The next prime is 180820837133. The reversal of 180820837120 is 21738028081.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117187069 + ... + 117188611.

It is an arithmetic number, because the mean of its divisors is an integer number (994119840).

Almost surely, 2^180820837120 is an apocalyptic number.

180820837120 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 180820837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286306513920).

180820837120 is an abundant number, since it is smaller than the sum of its proper divisors (391792190720).

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

180820837120 is a wasteful number, since it uses less digits than its factorization.

180820837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 180820837120 in words is "one hundred eighty billion, eight hundred twenty million, eight hundred thirty-seven thousand, one hundred twenty".