127586678440 has 96 divisors (see below), whose sum is σ = 313930387800. Its totient is φ = 46642252800.

The previous prime is 127586678431. The next prime is 127586678491. The reversal of 127586678440 is 44876685721.

It can be written as a sum of positive squares in 12 ways, for example, as 10741664164 + 116845014276 = 103642^2 + 341826^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589326 + ... + 776194.

Almost surely, 2^127586678440 is an apocalyptic number.

127586678440 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 127586678440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156965193900).

127586678440 is an abundant number, since it is smaller than the sum of its proper divisors (186343709360).

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

127586678440 is a wasteful number, since it uses less digits than its factorization.

127586678440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187007 (or 186990 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 127586678440 in words is "one hundred twenty-seven billion, five hundred eighty-six million, six hundred seventy-eight thousand, four hundred forty".