9945986075820 has 192 divisors, whose sum is σ = 33157988720640. Its totient is φ = 2466172025856.

The previous prime is 9945986075819. The next prime is 9945986075827. The reversal of 9945986075820 is 285706895499.

9945986075820 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 9 + 8 + 607 + 5 + 8 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (9945986075827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5764812 + ... + 7288691.

It is an arithmetic number, because the mean of its divisors is an integer number (172697857920).

Almost surely, 2^{9945986075820} is an apocalyptic number.

9945986075820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9945986075820 is an abundant number, since it is smaller than the sum of its proper divisors (23212002644820).

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

9945986075820 is a wasteful number, since it uses less digits than its factorization.

9945986075820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053621 (or 13053613 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 9945986075820 in words is "nine trillion, nine hundred forty-five billion, nine hundred eighty-six million, seventy-five thousand, eight hundred twenty".