20768127045120 has 2560 divisors, whose sum is σ = 95865464217600. Its totient is φ = 4141668630528.

The previous prime is 20768127045073. The next prime is 20768127045163. The reversal of 20768127045120 is 2154072186702.

20768127045120 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 8 + 127 + 0 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12875465434 + ... + 12875467046.

It is an arithmetic number, because the mean of its divisors is an integer number (37447446960).

Almost surely, 2^{20768127045120} is an apocalyptic number.

20768127045120 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 20768127045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47932732108800).

20768127045120 is an abundant number, since it is smaller than the sum of its proper divisors (75097337172480).

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

20768127045120 is a wasteful number, since it uses less digits than its factorization.

20768127045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 20768127045120 in words is "twenty trillion, seven hundred sixty-eight billion, one hundred twenty-seven million, forty-five thousand, one hundred twenty".