127285549056 has 576 divisors, whose sum is σ = 407822688000. Its totient is φ = 38087884800.

The previous prime is 127285549019. The next prime is 127285549109. The reversal of 127285549056 is 650945582721.

127285549056 is a `hidden beast` number, since 1 + 2 + 72 + 85 + 5 + 490 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×127285549056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127285548993 and 127285549011.

It is a congruent number.

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, 842950581 + ... + 842950731.

It is an arithmetic number, because the mean of its divisors is an integer number (708025500).

Almost surely, 2^127285549056 is an apocalyptic number.

127285549056 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 127285549056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344000).

127285549056 is an abundant number, since it is smaller than the sum of its proper divisors (280537138944).

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

127285549056 is a wasteful number, since it uses less digits than its factorization.

127285549056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 127285549056 in words is "one hundred twenty-seven billion, two hundred eighty-five million, five hundred forty-nine thousand, fifty-six".