127911995785728 has 480 divisors, whose sum is σ = 484478731376640. Its totient is φ = 31475267297280.

The previous prime is 127911995785727. The next prime is 127911995785729. The reversal of 127911995785728 is 827587599119721.

127911995785728 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 19 + 9 + 578 + 5 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (127911995785727) and next prime (127911995785729).

It is a super-2 number, since 2×127911995785728² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127911995785727) 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 47 ways as a sum of consecutive naturals, for example, 2745400 + ... + 16228407.

It is an arithmetic number, because the mean of its divisors is an integer number (1009330690368).

Almost surely, 2^{127911995785728} is an apocalyptic number.

127911995785728 is a gapful number since it is divisible by the number (18) 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 127911995785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242239365688320).

127911995785728 is an abundant number, since it is smaller than the sum of its proper divisors (356566735590912).

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

127911995785728 is a wasteful number, since it uses less digits than its factorization.

127911995785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18973868 (or 18973849 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 81.

The spelling of 127911995785728 in words is "one hundred twenty-seven trillion, nine hundred eleven billion, nine hundred ninety-five million, seven hundred eighty-five thousand, seven hundred twenty-eight".