127907398080 has 1120 divisors, whose sum is σ = 597291932160. Its totient is φ = 25171845120.

The previous prime is 127907398043. The next prime is 127907398111. The reversal of 127907398080 is 80893709721.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37919274 + ... + 37922646.

It is an arithmetic number, because the mean of its divisors is an integer number (533296368).

Almost surely, 2^127907398080 is an apocalyptic number.

127907398080 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 127907398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298645966080).

127907398080 is an abundant number, since it is smaller than the sum of its proper divisors (469384534080).

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

127907398080 is a wasteful number, since it uses less digits than its factorization.

127907398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 127907398080 in words is "one hundred twenty-seven billion, nine hundred seven million, three hundred ninety-eight thousand, eighty".