127832893830 has 96 divisors (see below), whose sum is σ = 352135802304. Its totient is φ = 32063551488.

The previous prime is 127832893807. The next prime is 127832893831. The reversal of 127832893830 is 38398238721.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127832893831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2509999 + ... + 2560421.

It is an arithmetic number, because the mean of its divisors is an integer number (3668081274).

Almost surely, 2^127832893830 is an apocalyptic number.

127832893830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127832893830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176067901152).

127832893830 is an abundant number, since it is smaller than the sum of its proper divisors (224302908474).

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

127832893830 is a wasteful number, since it uses less digits than its factorization.

127832893830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52110 (or 52107 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 127832893830 in words is "one hundred twenty-seven billion, eight hundred thirty-two million, eight hundred ninety-three thousand, eight hundred thirty".