127788434880 has 112 divisors (see below), whose sum is σ = 407025494304. Its totient is φ = 33967964160.

The previous prime is 127788434867. The next prime is 127788434897. The reversal of 127788434880 is 88434887721.

It is a super-3 number, since 3×127788434880³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87840 + ... + 513120.

Almost surely, 2^127788434880 is an apocalyptic number.

127788434880 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 127788434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203512747152).

127788434880 is an abundant number, since it is smaller than the sum of its proper divisors (279237059424).

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

127788434880 is a wasteful number, since it uses less digits than its factorization.

127788434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425614 (or 425604 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 60.

The spelling of 127788434880 in words is "one hundred twenty-seven billion, seven hundred eighty-eight million, four hundred thirty-four thousand, eight hundred eighty".