35663616601552 has 20 divisors (see below), whose sum is σ = 69159787260160. Its totient is φ = 17815929566688.

The previous prime is 35663616601531. The next prime is 35663616601553. The reversal of 35663616601552 is 25510661636653.

35663616601552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 35663616601493 and 35663616601502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35663616601553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 992402352 + ... + 992438287.

It is an arithmetic number, because the mean of its divisors is an integer number (3457989363008).

Almost surely, 2^{35663616601552} is an apocalyptic number.

It is an amenable number.

35663616601552 is a deficient number, since it is larger than the sum of its proper divisors (33496170658608).

35663616601552 is a wasteful number, since it uses less digits than its factorization.

35663616601552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984841770 (or 1984841764 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 55.

The spelling of 35663616601552 in words is "thirty-five trillion, six hundred sixty-three billion, six hundred sixteen million, six hundred one thousand, five hundred fifty-two".