127872000000 has 784 divisors, whose sum is σ = 486364086960. Its totient is φ = 33177600000.

The previous prime is 127871999999. The next prime is 127872000017. The reversal of 127872000000 is 278721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3455999982 + ... + 3456000018.

Almost surely, 2^127872000000 is an apocalyptic number.

127872000000 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 127872000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243182043480).

127872000000 is an abundant number, since it is smaller than the sum of its proper divisors (358492086960).

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

127872000000 is an frugal number, since it uses more digits than its factorization.

127872000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 127872000000 its reverse (278721), we get a palindrome (127872278721).

The spelling of 127872000000 in words is "one hundred twenty-seven billion, eight hundred seventy-two million", and thus it is an aban number.