127977420787776 has 672 divisors, whose sum is σ = 430678010880000. Its totient is φ = 35583118331904.

The previous prime is 127977420787771. The next prime is 127977420787829. The reversal of 127977420787776 is 677787024779721.

127977420787776 is a `hidden beast` number, since 1 + 27 + 97 + 7 + 420 + 7 + 87 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 127977420787695 and 127977420787704.

It is not an unprimeable number, because it can be changed into a prime (127977420787771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6782407270 + ... + 6782426138.

Almost surely, 2^{127977420787776} is an apocalyptic number.

127977420787776 is a gapful number since it is divisible by the number (16) 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 127977420787776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215339005440000).

127977420787776 is an abundant number, since it is smaller than the sum of its proper divisors (302700590092224).

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

127977420787776 is a wasteful number, since it uses less digits than its factorization.

127977420787776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19279 (or 19266 counting only the distinct ones).

The product of its (nonzero) digits is 5692329216, while the sum is 81.

The spelling of 127977420787776 in words is "one hundred twenty-seven trillion, nine hundred seventy-seven billion, four hundred twenty million, seven hundred eighty-seven thousand, seven hundred seventy-six".