20127956677920 has 1152 divisors, whose sum is σ = 89458355750400. Its totient is φ = 4246741094400.

The previous prime is 20127956677901. The next prime is 20127956677973. The reversal of 20127956677920 is 2977665972102.

20127956677920 is a `hidden beast` number, since 20 + 1 + 27 + 9 + 566 + 7 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 173307870 + ... + 173423970.

It is an arithmetic number, because the mean of its divisors is an integer number (77654822700).

Almost surely, 2^{20127956677920} is an apocalyptic number.

20127956677920 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 20127956677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44729177875200).

20127956677920 is an abundant number, since it is smaller than the sum of its proper divisors (69330399072480).

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

20127956677920 is a wasteful number, since it uses less digits than its factorization.

20127956677920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116165 (or 116131 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 20127956677920 in words is "twenty trillion, one hundred twenty-seven billion, nine hundred fifty-six million, six hundred seventy-seven thousand, nine hundred twenty".