127322357760 has 952 divisors, whose sum is σ = 505423407384. Its totient is φ = 30576476160.

The previous prime is 127322357759. The next prime is 127322357779. The reversal of 127322357760 is 67753223721.

It is a happy number.

127322357760 is a `hidden beast` number, since 1 + 2 + 73 + 2 + 2 + 3 + 577 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3057647616 + 124264710144 = 55296^2 + 352512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3105423340 + ... + 3105423380.

Almost surely, 2^127322357760 is an apocalyptic number.

127322357760 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 127322357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252711703692).

127322357760 is an abundant number, since it is smaller than the sum of its proper divisors (378101049624).

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

127322357760 is an frugal number, since it uses more digits than its factorization.

127322357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 127322357760 in words is "one hundred twenty-seven billion, three hundred twenty-two million, three hundred fifty-seven thousand, seven hundred sixty".