127287853056 has 1280 divisors, whose sum is σ = 511563064320. Its totient is φ = 30576476160.

The previous prime is 127287853051. The next prime is 127287853061. The reversal of 127287853056 is 650358782721.

127287853056 is a `hidden beast` number, since 1 + 27 + 2 + 87 + 8 + 530 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (127287853051) and next prime (127287853061).

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

It is a junction number, because it is equal to n+sod(n) for n = 127287852993 and 127287853011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127287853051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4106059761 + ... + 4106059791.

It is an arithmetic number, because the mean of its divisors is an integer number (399658644).

Almost surely, 2^127287853056 is an apocalyptic number.

127287853056 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 127287853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255781532160).

127287853056 is an abundant number, since it is smaller than the sum of its proper divisors (384275211264).

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

127287853056 is an equidigital number, since it uses as much as digits as its factorization.

127287853056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 127287853056 in words is "one hundred twenty-seven billion, two hundred eighty-seven million, eight hundred fifty-three thousand, fifty-six".