127648861200 has 1080 divisors, whose sum is σ = 548287094880. Its totient is φ = 28123200000.

The previous prime is 127648861183. The next prime is 127648861217. The reversal of 127648861200 is 2168846721.

127648861200 is a `hidden beast` number, since 1 + 27 + 6 + 4 + 8 + 8 + 612 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127648861183) and next prime (127648861217).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 508561075 + ... + 508561325.

It is an arithmetic number, because the mean of its divisors is an integer number (507673236).

Almost surely, 2^127648861200 is an apocalyptic number.

127648861200 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 127648861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274143547440).

127648861200 is an abundant number, since it is smaller than the sum of its proper divisors (420638233680).

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

127648861200 is a wasteful number, since it uses less digits than its factorization.

127648861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 127648861200 in words is "one hundred twenty-seven billion, six hundred forty-eight million, eight hundred sixty-one thousand, two hundred".