20127177442500 has 60 divisors (see below), whose sum is σ = 58685482196880. Its totient is φ = 5367247316000.

The previous prime is 20127177442483. The next prime is 20127177442501. The reversal of 20127177442500 is 524477172102.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (20127177442501) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1341804330 + ... + 1341819329.

It is an arithmetic number, because the mean of its divisors is an integer number (978091369948).

Almost surely, 2^{20127177442500} is an apocalyptic number.

20127177442500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20127177442500 is an abundant number, since it is smaller than the sum of its proper divisors (38558304754380).

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

20127177442500 is a wasteful number, since it uses less digits than its factorization.

20127177442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683623686 (or 2683623669 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 20127177442500 in words is "twenty trillion, one hundred twenty-seven billion, one hundred seventy-seven million, four hundred forty-two thousand, five hundred".