127359783794880 has 2688 divisors, whose sum is σ = 593560009728000. Its totient is φ = 25410843279360.

The previous prime is 127359783794863. The next prime is 127359783794923. The reversal of 127359783794880 is 88497387953721.

It is a happy number.

127359783794880 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 59 + 7 + 83 + 7 + 9 + 488 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 127359783794880.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 103628790106 + ... + 103628791334.

It is an arithmetic number, because the mean of its divisors is an integer number (220818456000).

Almost surely, 2^{127359783794880} is an apocalyptic number.

127359783794880 is a gapful number since it is divisible by the number (10) 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 127359783794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296780004864000).

127359783794880 is an abundant number, since it is smaller than the sum of its proper divisors (466200225933120).

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

127359783794880 is a wasteful number, since it uses less digits than its factorization.

127359783794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 127359783794880 in words is "one hundred twenty-seven trillion, three hundred fifty-nine billion, seven hundred eighty-three million, seven hundred ninety-four thousand, eight hundred eighty".