127285960461 has 48 divisors (see below), whose sum is σ = 190491792384. Its totient is φ = 74974896000.

The previous prime is 127285960447. The next prime is 127285960471. The reversal of 127285960461 is 164069582721.

It is not a de Polignac number, because 127285960461 - 2⁶ = 127285960397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127285960411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15028950 + ... + 15037416.

It is an arithmetic number, because the mean of its divisors is an integer number (3968579008).

Almost surely, 2^127285960461 is an apocalyptic number.

127285960461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127285960461 is a deficient number, since it is larger than the sum of its proper divisors (63205831923).

127285960461 is a wasteful number, since it uses less digits than its factorization.

127285960461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 127285960461 in words is "one hundred twenty-seven billion, two hundred eighty-five million, nine hundred sixty thousand, four hundred sixty-one".