1027590434685 has 24 divisors (see below), whose sum is σ = 1784575521144. Its totient is φ = 546996303360.

The previous prime is 1027590434677. The next prime is 1027590434699. The reversal of 1027590434685 is 5864340957201.

It is a happy number.

1027590434685 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 590 + 4 + 3 + 46 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20180759481 + 1007409675204 = 142059^2 + 1003698^2 .

It is not a de Polignac number, because 1027590434685 - 2³ = 1027590434677 is a prime.

It is a super-2 number, since 2×1027590434685² (a number of 25 digits) contains 22 as substring.

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, 21891472 + ... + 21938361.

It is an arithmetic number, because the mean of its divisors is an integer number (74357313381).

It is a 1-persistent number, because it is pandigital, but 2⋅1027590434685 = 2055180869370 is not.

Almost surely, 2^{1027590434685} is an apocalyptic number.

1027590434685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1027590434685 is a deficient number, since it is larger than the sum of its proper divisors (756985086459).

1027590434685 is a wasteful number, since it uses less digits than its factorization.

1027590434685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43830365 (or 43830362 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1027590434685 in words is "one trillion, twenty-seven billion, five hundred ninety million, four hundred thirty-four thousand, six hundred eighty-five".