127791486950400 has 6336 divisors, whose sum is σ = 633301266124800. Its totient is φ = 25282923724800.

The previous prime is 127791486950317. The next prime is 127791486950423. The reversal of 127791486950400 is 4059684197721.

127791486950400 is a `hidden beast` number, since 1 + 27 + 7 + 9 + 1 + 48 + 69 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 471555302265 + ... + 471555302535.

Almost surely, 2^{127791486950400} is an apocalyptic number.

127791486950400 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 127791486950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316650633062400).

127791486950400 is an abundant number, since it is smaller than the sum of its proper divisors (505509779174400).

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

127791486950400 is a wasteful number, since it uses less digits than its factorization.

127791486950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 127791486950400 in words is "one hundred twenty-seven trillion, seven hundred ninety-one billion, four hundred eighty-six million, nine hundred fifty thousand, four hundred".