20127125464100 has 72 divisors (see below), whose sum is σ = 44096910429600. Its totient is φ = 7973281534720.

The previous prime is 20127125464049. The next prime is 20127125464133. The reversal of 20127125464100 is 146452172102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36631607 + ... + 37176993.

It is an arithmetic number, because the mean of its divisors is an integer number (612457089300).

Almost surely, 2^{20127125464100} is an apocalyptic number.

20127125464100 is a gapful number since it is divisible by the number (20) 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 20127125464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048455214800).

20127125464100 is an abundant number, since it is smaller than the sum of its proper divisors (23969784965500).

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

20127125464100 is a wasteful number, since it uses less digits than its factorization.

20127125464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548957 (or 548950 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 20127125464100 in words is "twenty trillion, one hundred twenty-seven billion, one hundred twenty-five million, four hundred sixty-four thousand, one hundred".