35949864110028 has 288 divisors, whose sum is σ = 95028714950400. Its totient is φ = 10484223859200.

The previous prime is 35949864110011. The next prime is 35949864110047. The reversal of 35949864110028 is 82001146894953.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14513468326 + ... + 14513470802.

It is an arithmetic number, because the mean of its divisors is an integer number (329960815800).

Almost surely, 2^{35949864110028} 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 35949864110028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47514357475200).

35949864110028 is an abundant number, since it is smaller than the sum of its proper divisors (59078850840372).

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

35949864110028 is a wasteful number, since it uses less digits than its factorization.

35949864110028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 35949864110028 in words is "thirty-five trillion, nine hundred forty-nine billion, eight hundred sixty-four million, one hundred ten thousand, twenty-eight".