3575235166560 has 384 divisors, whose sum is σ = 12723411657600. Its totient is φ = 949211467776.

The previous prime is 3575235166483. The next prime is 3575235166579. The reversal of 3575235166560 is 656615325753.

It is a happy number.

3575235166560 is a `hidden beast` number, since 3 + 5 + 7 + 5 + 2 + 3 + 516 + 65 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3575235166497 and 3575235166506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80109372 + ... + 80153988.

It is an arithmetic number, because the mean of its divisors is an integer number (33133884525).

Almost surely, 2^{3575235166560} is an apocalyptic number.

3575235166560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3575235166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361705828800).

3575235166560 is an abundant number, since it is smaller than the sum of its proper divisors (9148176491040).

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

3575235166560 is an equidigital number, since it uses as much as digits as its factorization.

3575235166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44882 (or 44856 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 54.

The spelling of 3575235166560 in words is "three trillion, five hundred seventy-five billion, two hundred thirty-five million, one hundred sixty-six thousand, five hundred sixty".