10005999549000 has 1024 divisors, whose sum is σ = 40030057267200. Its totient is φ = 2024123904000.

The previous prime is 10005999548989. The next prime is 10005999549037. The reversal of 10005999549000 is 94599950001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 922461577 + ... + 922472423.

It is an arithmetic number, because the mean of its divisors is an integer number (39091852800).

Almost surely, 2^{10005999549000} is an apocalyptic number.

10005999549000 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 10005999549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015028633600).

10005999549000 is an abundant number, since it is smaller than the sum of its proper divisors (30024057718200).

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

10005999549000 is a wasteful number, since it uses less digits than its factorization.

10005999549000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11031 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 51.

The spelling of 10005999549000 in words is "ten trillion, five billion, nine hundred ninety-nine million, five hundred forty-nine thousand".