127791046656 has 672 divisors, whose sum is σ = 474834386880. Its totient is φ = 33665974272.

The previous prime is 127791046639. The next prime is 127791046771. The reversal of 127791046656 is 656640197721.

127791046656 is a `hidden beast` number, since 127 + 7 + 9 + 1 + 0 + 466 + 56 = 666.

127791046656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140893755 + ... + 140894661.

It is an arithmetic number, because the mean of its divisors is an integer number (706598790).

Almost surely, 2^127791046656 is an apocalyptic number.

127791046656 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 127791046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237417193440).

127791046656 is an abundant number, since it is smaller than the sum of its proper divisors (347043340224).

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

127791046656 is an equidigital number, since it uses as much as digits as its factorization.

127791046656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 127791046656 in words is "one hundred twenty-seven billion, seven hundred ninety-one million, forty-six thousand, six hundred fifty-six".