180308801228400 has 1440 divisors, whose sum is σ = 699633493715520. Its totient is φ = 44084590018560.

The previous prime is 180308801228399. The next prime is 180308801228453. The reversal of 180308801228400 is 4822108803081.

It is a happy number.

180308801228400 is a `hidden beast` number, since 1 + 8 + 0 + 308 + 80 + 1 + 228 + 40 + 0 = 666.

180308801228400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180308801228400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266335008862 + ... + 266335009538.

It is an arithmetic number, because the mean of its divisors is an integer number (485856592858).

Almost surely, 2^{180308801228400} is an apocalyptic number.

180308801228400 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 180308801228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349816746857760).

180308801228400 is an abundant number, since it is smaller than the sum of its proper divisors (519324692487120).

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

180308801228400 is a wasteful number, since it uses less digits than its factorization.

180308801228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 180308801228400 in words is "one hundred eighty trillion, three hundred eight billion, eight hundred one million, two hundred twenty-eight thousand, four hundred".