127166054400 has 1134 divisors, whose sum is σ = 578083867452. Its totient is φ = 26424115200.

The previous prime is 127166054383. The next prime is 127166054413. The reversal of 127166054400 is 4450661721.

127166054400 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 6 + 605 + 4 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11560550395 + ... + 11560550405.

Almost surely, 2^127166054400 is an apocalyptic number.

127166054400 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 127166054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289041933726).

127166054400 is an abundant number, since it is smaller than the sum of its proper divisors (450917813052).

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

127166054400 is an frugal number, since it uses more digits than its factorization.

127166054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 127166054400 in words is "one hundred twenty-seven billion, one hundred sixty-six million, fifty-four thousand, four hundred".