35662056105042 has 192 divisors, whose sum is σ = 83537847469440. Its totient is φ = 10960365312000.

The previous prime is 35662056104981. The next prime is 35662056105073. The reversal of 35662056105042 is 24050165026653.

35662056105042 is a `hidden beast` number, since 3 + 5 + 6 + 6 + 20 + 5 + 610 + 5 + 0 + 4 + 2 = 666.

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, 1315589653 + ... + 1315616759.

It is an arithmetic number, because the mean of its divisors is an integer number (435092955570).

Almost surely, 2^{35662056105042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35662056105042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41768923734720).

35662056105042 is an abundant number, since it is smaller than the sum of its proper divisors (47875791364398).

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

35662056105042 is a wasteful number, since it uses less digits than its factorization.

35662056105042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769 (or 27766 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 35662056105042 in words is "thirty-five trillion, six hundred sixty-two billion, fifty-six million, one hundred five thousand, forty-two".