127233523705376 has 96 divisors (see below), whose sum is σ = 274727838309120. Its totient is φ = 57523721068800.

The previous prime is 127233523705367. The next prime is 127233523705403. The reversal of 127233523705376 is 673507325332721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119717315 + ... + 120775421.

It is an arithmetic number, because the mean of its divisors is an integer number (2861748315720).

Almost surely, 2^{127233523705376} is an apocalyptic number.

127233523705376 is a gapful number since it is divisible by the number (16) 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 127233523705376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137363919154560).

127233523705376 is an abundant number, since it is smaller than the sum of its proper divisors (147494314603744).

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

127233523705376 is a wasteful number, since it uses less digits than its factorization.

127233523705376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059958 (or 1059950 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 56.

The spelling of 127233523705376 in words is "one hundred twenty-seven trillion, two hundred thirty-three billion, five hundred twenty-three million, seven hundred five thousand, three hundred seventy-six".