127294051826760 has 512 divisors, whose sum is σ = 471286898933760. Its totient is φ = 26784714756096.

The previous prime is 127294051826723. The next prime is 127294051826771. The reversal of 127294051826760 is 67628150492721.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 127294051826694 and 127294051826703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6136712949 + ... + 6136733691.

It is an arithmetic number, because the mean of its divisors is an integer number (920482224480).

Almost surely, 2^{127294051826760} is an apocalyptic number.

127294051826760 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 127294051826760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235643449466880).

127294051826760 is an abundant number, since it is smaller than the sum of its proper divisors (343992847107000).

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

127294051826760 is a wasteful number, since it uses less digits than its factorization.

127294051826760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22277 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 127294051826760 in words is "one hundred twenty-seven trillion, two hundred ninety-four billion, fifty-one million, eight hundred twenty-six thousand, seven hundred sixty".