1604824059105 has 56 divisors (see below), whose sum is σ = 2892907849320. Its totient is φ = 854262339840.

The previous prime is 1604824059049. The next prime is 1604824059149. The reversal of 1604824059105 is 5019504284061.

1604824059105 is a `hidden beast` number, since 1 + 60 + 4 + 82 + 405 + 9 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63064770129 + 1541759288976 = 251127^2 + 1241676^2 .

It is not a de Polignac number, because 1604824059105 - 2⁷ = 1604824058977 is a prime.

It is a super-3 number, since 3×1604824059105³ (a number of 38 digits) contains 333 as substring.

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 55 ways as a sum of consecutive naturals, for example, 1476511 + ... + 2321579.

Almost surely, 2^{1604824059105} is an apocalyptic number.

1604824059105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1604824059105 is a deficient number, since it is larger than the sum of its proper divisors (1288083790215).

1604824059105 is an frugal number, since it uses more digits than its factorization.

1604824059105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845613 (or 845598 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1604824059105 in words is "one trillion, six hundred four billion, eight hundred twenty-four million, fifty-nine thousand, one hundred five".