127928049600 has 336 divisors, whose sum is σ = 457735147520. Its totient is φ = 31090176000.

The previous prime is 127928049583. The next prime is 127928049637. The reversal of 127928049600 is 6940829721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127928049600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4916625 + ... + 4942575.

Almost surely, 2^127928049600 is an apocalyptic number.

127928049600 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 127928049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228867573760).

127928049600 is an abundant number, since it is smaller than the sum of its proper divisors (329807097920).

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

127928049600 is a wasteful number, since it uses less digits than its factorization.

127928049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26068 (or 26053 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 127928049600 in words is "one hundred twenty-seven billion, nine hundred twenty-eight million, forty-nine thousand, six hundred".