9935901387776 has 792 divisors, whose sum is σ = 27197111450880. Its totient is φ = 3535904047104.

The previous prime is 9935901387773. The next prime is 9935901387803. The reversal of 9935901387776 is 6777831095399.

It is not an unprimeable number, because it can be changed into a prime (9935901387773) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72524827580 + ... + 72524827716.

Almost surely, 2^{9935901387776} 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 9935901387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598555725440).

9935901387776 is an abundant number, since it is smaller than the sum of its proper divisors (17261210063104).

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

9935901387776 is a wasteful number, since it uses less digits than its factorization.

9935901387776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 74.

The spelling of 9935901387776 in words is "nine trillion, nine hundred thirty-five billion, nine hundred one million, three hundred eighty-seven thousand, seven hundred seventy-six".