127899056937600 has 1536 divisors, whose sum is σ = 517178085984000. Its totient is φ = 30667250073600.

The previous prime is 127899056937593. The next prime is 127899056937601. The reversal of 127899056937600 is 6739650998721.

127899056937600 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 9 + 9 + 0 + 5 + 6 + 9 + 3 + 7 + 600 = 666.

127899056937600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (127899056937601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36242292636 + ... + 36242296164.

Almost surely, 2^{127899056937600} is an apocalyptic number.

127899056937600 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 127899056937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258589042992000).

127899056937600 is an abundant number, since it is smaller than the sum of its proper divisors (389279029046400).

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

127899056937600 is a wasteful number, since it uses less digits than its factorization.

127899056937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 127899056937600 in words is "one hundred twenty-seven trillion, eight hundred ninety-nine billion, fifty-six million, nine hundred thirty-seven thousand, six hundred".