1027132680375 has 160 divisors (see below), whose sum is σ = 2002366080000. Its totient is φ = 522877291200.

The previous prime is 1027132680373. The next prime is 1027132680391. The reversal of 1027132680375 is 5730862317201.

1027132680375 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 13 + 268 + 0 + 375 = 666.

It is not a de Polignac number, because 1027132680375 - 2¹ = 1027132680373 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1027132680375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027132680373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116200206 + ... + 116209044.

It is an arithmetic number, because the mean of its divisors is an integer number (12514788000).

Almost surely, 2^{1027132680375} is an apocalyptic number.

1027132680375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1027132680375 is a deficient number, since it is larger than the sum of its proper divisors (975233399625).

1027132680375 is an equidigital number, since it uses as much as digits as its factorization.

1027132680375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 1027132680375 its reverse (5730862317201), we get a palindrome (6757994997576).

The spelling of 1027132680375 in words is "one trillion, twenty-seven billion, one hundred thirty-two million, six hundred eighty thousand, three hundred seventy-five".