9906000544000 has 288 divisors, whose sum is σ = 26998370485632. Its totient is φ = 3591756800000.

The previous prime is 9906000543983. The next prime is 9906000544039. The reversal of 9906000544000 is 4450006099.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122103450 + ... + 122184550.

It is an arithmetic number, because the mean of its divisors is an integer number (93744341964).

Almost surely, 2^{9906000544000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906000544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499185242816).

9906000544000 is an abundant number, since it is smaller than the sum of its proper divisors (17092369941632).

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

9906000544000 is a wasteful number, since it uses less digits than its factorization.

9906000544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81490 (or 81466 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 9906000544000 in words is "nine trillion, nine hundred six billion, five hundred forty-four thousand".