127872108000 has 960 divisors, whose sum is σ = 577774124928. Its totient is φ = 26973388800.

The previous prime is 127872107989. The next prime is 127872108029. The reversal of 127872108000 is 801278721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29481832 + ... + 29486168.

Almost surely, 2^127872108000 is an apocalyptic number.

127872108000 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 127872108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288887062464).

127872108000 is an abundant number, since it is smaller than the sum of its proper divisors (449902016928).

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

127872108000 is a wasteful number, since it uses less digits than its factorization.

127872108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 127872108000 in words is "one hundred twenty-seven billion, eight hundred seventy-two million, one hundred eight thousand".