127299379109760 has 1280 divisors, whose sum is σ = 537627899128320. Its totient is φ = 28297672704000.

The previous prime is 127299379109723. The next prime is 127299379109783. The reversal of 127299379109760 is 67901973992721.

127299379109760 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 99 + 379 + 109 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1119324259 + ... + 1119437981.

It is an arithmetic number, because the mean of its divisors is an integer number (420021796194).

Almost surely, 2^{127299379109760} is an apocalyptic number.

127299379109760 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 127299379109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268813949564160).

127299379109760 is an abundant number, since it is smaller than the sum of its proper divisors (410328520018560).

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

127299379109760 is a wasteful number, since it uses less digits than its factorization.

127299379109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113929 (or 113908 counting only the distinct ones).

The product of its (nonzero) digits is 162030456, while the sum is 72.

The spelling of 127299379109760 in words is "one hundred twenty-seven trillion, two hundred ninety-nine billion, three hundred seventy-nine million, one hundred nine thousand, seven hundred sixty".