81268127940975 has 384 divisors, whose sum is σ = 153328586342400. Its totient is φ = 37778227200000.

The previous prime is 81268127940959. The next prime is 81268127941061. The reversal of 81268127940975 is 57904972186218.

It is not a de Polignac number, because 81268127940975 - 2⁴ = 81268127940959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44384558310 + ... + 44384560140.

It is an arithmetic number, because the mean of its divisors is an integer number (399293193600).

Almost surely, 2^{81268127940975} is an apocalyptic number.

81268127940975 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

81268127940975 is a deficient number, since it is larger than the sum of its proper divisors (72060458401425).

81268127940975 is a wasteful number, since it uses less digits than its factorization.

81268127940975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 69.

The spelling of 81268127940975 in words is "eighty-one trillion, two hundred sixty-eight billion, one hundred twenty-seven million, nine hundred forty thousand, nine hundred seventy-five".