127028501600 has 1728 divisors, whose sum is σ = 473981663232. Its totient is φ = 32514048000.

The previous prime is 127028501591. The next prime is 127028501629. The reversal of 127028501600 is 6105820721.

It is a super-3 number, since 3×127028501600³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 287 ways as a sum of consecutive naturals, for example, 2954151179 + ... + 2954151221.

It is an arithmetic number, because the mean of its divisors is an integer number (274294944).

Almost surely, 2^127028501600 is an apocalyptic number.

127028501600 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 127028501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236990831616).

127028501600 is an abundant number, since it is smaller than the sum of its proper divisors (346953161632).

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

127028501600 is a wasteful number, since it uses less digits than its factorization.

127028501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 127028501600 in words is "one hundred twenty-seven billion, twenty-eight million, five hundred one thousand, six hundred".