127811988864 has 288 divisors, whose sum is σ = 435102899400. Its totient is φ = 35897831424.

The previous prime is 127811988817. The next prime is 127811988901. The reversal of 127811988864 is 468889118721.

127811988864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×127811988864³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3311244 + ... + 3349620.

Almost surely, 2^127811988864 is an apocalyptic number.

127811988864 is a gapful number since it is divisible by the number (14) 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 127811988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217551449700).

127811988864 is an abundant number, since it is smaller than the sum of its proper divisors (307290910536).

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

127811988864 is a wasteful number, since it uses less digits than its factorization.

127811988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38470 (or 38448 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 63.

The spelling of 127811988864 in words is "one hundred twenty-seven billion, eight hundred eleven million, nine hundred eighty-eight thousand, eight hundred sixty-four".