8405050649600 has 264 divisors, whose sum is σ = 22929602130288. Its totient is φ = 3029322956800.

The previous prime is 8405050649557. The next prime is 8405050649741. The reversal of 8405050649600 is 69460505048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31688732 + ... + 31952868.

Almost surely, 2^{8405050649600} is an apocalyptic number.

8405050649600 is a gapful number since it is divisible by the number (80) 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 8405050649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464801065144).

8405050649600 is an abundant number, since it is smaller than the sum of its proper divisors (14524551480688).

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

8405050649600 is a wasteful number, since it uses less digits than its factorization.

8405050649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264291 (or 264268 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 8405050649600 in words is "eight trillion, four hundred five billion, fifty million, six hundred forty-nine thousand, six hundred".