1605205408800 has 1152 divisors, whose sum is σ = 6401830256640. Its totient is φ = 341242675200.

The previous prime is 1605205408783. The next prime is 1605205408811. The reversal of 1605205408800 is 88045025061.

It is a super-3 number, since 3×1605205408800³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6889293484 + ... + 6889293716.

It is an arithmetic number, because the mean of its divisors is an integer number (5557144320).

Almost surely, 2^{1605205408800} is an apocalyptic number.

1605205408800 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 1605205408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200915128320).

1605205408800 is an abundant number, since it is smaller than the sum of its proper divisors (4796624847840).

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

1605205408800 is a wasteful number, since it uses less digits than its factorization.

1605205408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 1605205408800 in words is "one trillion, six hundred five billion, two hundred five million, four hundred eight thousand, eight hundred".