127758349488 has 480 divisors, whose sum is σ = 425933738496. Its totient is φ = 32288256000.

The previous prime is 127758349487. The next prime is 127758349517. The reversal of 127758349488 is 884943857721.

It is a Cunningham number, because it is equal to 357433²-1.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (127758349487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454655908 + ... + 454656188.

Almost surely, 2^127758349488 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 127758349488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212966869248).

127758349488 is an abundant number, since it is smaller than the sum of its proper divisors (298175389008).

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

127758349488 is a wasteful number, since it uses less digits than its factorization.

127758349488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 568 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 66.

The spelling of 127758349488 in words is "one hundred twenty-seven billion, seven hundred fifty-eight million, three hundred forty-nine thousand, four hundred eighty-eight".