318528205380 has 1152 divisors, whose sum is σ = 1320883200000. Its totient is φ = 63798658560.

The previous prime is 318528205357. The next prime is 318528205393. The reversal of 318528205380 is 83502825813.

318528205380 is a `hidden beast` number, since 3 + 18 + 52 + 8 + 205 + 380 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 531766321 + ... + 531766919.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600000).

Almost surely, 2^318528205380 is an apocalyptic number.

318528205380 is a gapful number since it is divisible by the number (30) 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 318528205380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600000).

318528205380 is an abundant number, since it is smaller than the sum of its proper divisors (1002354994620).

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

318528205380 is a wasteful number, since it uses less digits than its factorization.

318528205380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 318528205380 in words is "three hundred eighteen billion, five hundred twenty-eight million, two hundred five thousand, three hundred eighty".