9991958724000 has 1152 divisors, whose sum is σ = 40762938617856. Its totient is φ = 2294265600000.

The previous prime is 9991958723951. The next prime is 9991958724017. The reversal of 9991958724000 is 4278591999.

9991958724000 is a `hidden beast` number, since 9 + 9 + 9 + 1 + 9 + 587 + 2 + 40 + 0 + 0 = 666.

9991958724000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 938118675 + ... + 938129325.

It is an arithmetic number, because the mean of its divisors is an integer number (35384495328).

Almost surely, 2^{9991958724000} is an apocalyptic number.

9991958724000 is a gapful number since it is divisible by the number (90) 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 9991958724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20381469308928).

9991958724000 is an abundant number, since it is smaller than the sum of its proper divisors (30770979893856).

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

9991958724000 is a wasteful number, since it uses less digits than its factorization.

9991958724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 9991958724000 in words is "nine trillion, nine hundred ninety-one billion, nine hundred fifty-eight million, seven hundred twenty-four thousand".