127883007141792 has 288 divisors, whose sum is σ = 391008065495040. Its totient is φ = 36490484620800.

The previous prime is 127883007141787. The next prime is 127883007141823. The reversal of 127883007141792 is 297141700388721.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19204532959 + ... + 19204539617.

It is an arithmetic number, because the mean of its divisors is an integer number (1357666894080).

Almost surely, 2^{127883007141792} is an apocalyptic number.

127883007141792 is a gapful number since it is divisible by the number (12) 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 127883007141792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195504032747520).

127883007141792 is an abundant number, since it is smaller than the sum of its proper divisors (263125058353248).

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

127883007141792 is a wasteful number, since it uses less digits than its factorization.

127883007141792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The spelling of 127883007141792 in words is "one hundred twenty-seven trillion, eight hundred eighty-three billion, seven million, one hundred forty-one thousand, seven hundred ninety-two".