127855953100800 has 1440 divisors, whose sum is σ = 484689453514560. Its totient is φ = 33439198740480.

The previous prime is 127855953100753. The next prime is 127855953100847. The reversal of 127855953100800 is 8001359558721.

127855953100800 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 559 + 5 + 3 + 1 + 0 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127855953100753) and next prime (127855953100847).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-6 number, since 6×127855953100800⁶ (a number of 86 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47477144254 + ... + 47477146946.

It is an arithmetic number, because the mean of its divisors is an integer number (336589898274).

Almost surely, 2^{127855953100800} is an apocalyptic number.

127855953100800 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 127855953100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242344726757280).

127855953100800 is an abundant number, since it is smaller than the sum of its proper divisors (356833500413760).

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

127855953100800 is an frugal number, since it uses more digits than its factorization.

127855953100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 127855953100800 in words is "one hundred twenty-seven trillion, eight hundred fifty-five billion, nine hundred fifty-three million, one hundred thousand, eight hundred".