127365638400 has 1944 divisors, whose sum is σ = 624678809664. Its totient is φ = 23909990400.

The previous prime is 127365638381. The next prime is 127365638459. The reversal of 127365638400 is 4836563721.

127365638400 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 6 + 5 + 638 + 4 + 0 + 0 = 666.

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, 2709907177 + ... + 2709907223.

Almost surely, 2^127365638400 is an apocalyptic number.

127365638400 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 127365638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312339404832).

127365638400 is an abundant number, since it is smaller than the sum of its proper divisors (497313171264).

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

127365638400 is a wasteful number, since it uses less digits than its factorization.

127365638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 127365638400 in words is "one hundred twenty-seven billion, three hundred sixty-five million, six hundred thirty-eight thousand, four hundred".