127628155200 has 1344 divisors, whose sum is σ = 542890252800. Its totient is φ = 25533480960.

The previous prime is 127628155199. The next prime is 127628155229. The reversal of 127628155200 is 2551826721.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 856564726 + ... + 856564874.

It is an arithmetic number, because the mean of its divisors is an integer number (403936200).

Almost surely, 2^127628155200 is an apocalyptic number.

127628155200 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 127628155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271445126400).

127628155200 is an abundant number, since it is smaller than the sum of its proper divisors (415262097600).

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

127628155200 is a wasteful number, since it uses less digits than its factorization.

127628155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 127628155200 in words is "one hundred twenty-seven billion, six hundred twenty-eight million, one hundred fifty-five thousand, two hundred".