127127404800 has 864 divisors, whose sum is σ = 519726735360. Its totient is φ = 30141849600.

The previous prime is 127127404771. The next prime is 127127404861. The reversal of 127127404800 is 8404721721.

127127404800 is a `hidden beast` number, since 12 + 7 + 127 + 40 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×127127404800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89336889 + ... + 89338311.

Almost surely, 2^127127404800 is an apocalyptic number.

127127404800 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 127127404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259863367680).

127127404800 is an abundant number, since it is smaller than the sum of its proper divisors (392599330560).

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

127127404800 is a wasteful number, since it uses less digits than its factorization.

127127404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 127127404800 in words is "one hundred twenty-seven billion, one hundred twenty-seven million, four hundred four thousand, eight hundred".