1027681580765 has 24 divisors (see below), whose sum is σ = 1461626775000. Its totient is φ = 691399782528.

The previous prime is 1027681580749. The next prime is 1027681580773. The reversal of 1027681580765 is 5670851867201.

It can be written as a sum of positive squares in 4 ways, for example, as 265409402041 + 762272178724 = 515179^2 + 873082^2 .

It is not a de Polignac number, because 1027681580765 - 2⁴ = 1027681580749 is a prime.

It is a super-2 number, since 2×1027681580765² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1027681580765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39558890 + ... + 39584859.

It is an arithmetic number, because the mean of its divisors is an integer number (60901115625).

Almost surely, 2^{1027681580765} is an apocalyptic number.

It is an amenable number.

1027681580765 is a deficient number, since it is larger than the sum of its proper divisors (433945194235).

1027681580765 is an equidigital number, since it uses as much as digits as its factorization.

1027681580765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79143821 (or 79143814 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 56.

The spelling of 1027681580765 in words is "one trillion, twenty-seven billion, six hundred eighty-one million, five hundred eighty thousand, seven hundred sixty-five".