1635166265106 has 384 divisors, whose sum is σ = 3966946099200. Its totient is φ = 447414105600.

The previous prime is 1635166265039. The next prime is 1635166265111. The reversal of 1635166265106 is 6015626615361.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6841699735 + ... + 6841699973.

It is an arithmetic number, because the mean of its divisors is an integer number (10330588800).

Almost surely, 2^{1635166265106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1635166265106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983473049600).

1635166265106 is an abundant number, since it is smaller than the sum of its proper divisors (2331779834094).

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

1635166265106 is a wasteful number, since it uses less digits than its factorization.

1635166265106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 1635166265106 in words is "one trillion, six hundred thirty-five billion, one hundred sixty-six million, two hundred sixty-five thousand, one hundred six".