127052195840 has 96 divisors (see below), whose sum is σ = 305628490440. Its totient is φ = 50691244032.

The previous prime is 127052195839. The next prime is 127052195873. The reversal of 127052195840 is 48591250721.

It can be written as a sum of positive squares in 4 ways, for example, as 114601206784 + 12450989056 = 338528^2 + 111584^2 .

It is a super-2 number, since 2×127052195840² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127052195791 and 127052195800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4049654 + ... + 4080906.

Almost surely, 2^127052195840 is an apocalyptic number.

127052195840 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 127052195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152814245220).

127052195840 is an abundant number, since it is smaller than the sum of its proper divisors (178576294600).

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

127052195840 is an equidigital number, since it uses as much as digits as its factorization.

127052195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31677 (or 31657 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 127052195840 in words is "one hundred twenty-seven billion, fifty-two million, one hundred ninety-five thousand, eight hundred forty".