9958913820000 has 960 divisors, whose sum is σ = 38506960578240. Its totient is φ = 2494623744000.

The previous prime is 9958913819963. The next prime is 9958913820077. The reversal of 9958913820000 is 283198599.

9958913820000 is a `hidden beast` number, since 9 + 9 + 589 + 1 + 38 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 8050859382 + ... + 8050860618.

It is an arithmetic number, because the mean of its divisors is an integer number (40111417269).

Almost surely, 2^{9958913820000} is an apocalyptic number.

9958913820000 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 9958913820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253480289120).

9958913820000 is an abundant number, since it is smaller than the sum of its proper divisors (28548046758240).

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

9958913820000 is a wasteful number, since it uses less digits than its factorization.

9958913820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 9958913820000 in words is "nine trillion, nine hundred fifty-eight billion, nine hundred thirteen million, eight hundred twenty thousand".