1027127681496 has 192 divisors, whose sum is σ = 3370457825280. Its totient is φ = 276322648320.

The previous prime is 1027127681471. The next prime is 1027127681507. The reversal of 1027127681496 is 6941867217201.

1027127681496 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 1 + 2 + 76 + 81 + 496 = 666.

1027127681496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 310296 + ... + 1466471.

It is an arithmetic number, because the mean of its divisors is an integer number (17554467840).

Almost surely, 2^{1027127681496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027127681496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685228912640).

1027127681496 is an abundant number, since it is smaller than the sum of its proper divisors (2343330143784).

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

1027127681496 is a wasteful number, since it uses less digits than its factorization.

1027127681496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776854 (or 1776847 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1027127681496 in words is "one trillion, twenty-seven billion, one hundred twenty-seven million, six hundred eighty-one thousand, four hundred ninety-six".