9930993004800 has 324 divisors, whose sum is σ = 40577763204160. Its totient is φ = 2269941166080.

The previous prime is 9930993004759. The next prime is 9930993004813. The reversal of 9930993004800 is 84003990399.

It is a super-2 number, since 2×9930993004800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11912020 + ... + 12718419.

Almost surely, 2^{9930993004800} is an apocalyptic number.

9930993004800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9930993004800 is an abundant number, since it is smaller than the sum of its proper divisors (30646770199360).

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

9930993004800 is a wasteful number, since it uses less digits than its factorization.

9930993004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24630478 (or 24630456 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 9930993004800 in words is "nine trillion, nine hundred thirty billion, nine hundred ninety-three million, four thousand, eight hundred".