127781301568 has 112 divisors (see below), whose sum is σ = 261673701696. Its totient is φ = 61876039680.

The previous prime is 127781301563. The next prime is 127781301569. The reversal of 127781301568 is 865103187721.

It is a super-2 number, since 2×127781301568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127781301563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288445155 + ... + 288445597.

Almost surely, 2^127781301568 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 127781301568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130836850848).

127781301568 is an abundant number, since it is smaller than the sum of its proper divisors (133892400128).

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

127781301568 is a wasteful number, since it uses less digits than its factorization.

127781301568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 127781301568 in words is "one hundred twenty-seven billion, seven hundred eighty-one million, three hundred one thousand, five hundred sixty-eight".