1027824732045 has 12 divisors (see below), whose sum is σ = 1781562868956. Its totient is φ = 548173190400.

The previous prime is 1027824732029. The next prime is 1027824732073. The reversal of 1027824732045 is 5402374287201.

1027824732045 is a `hidden beast` number, since 10 + 2 + 78 + 247 + 320 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 553817267721 + 474007464324 = 744189^2 + 688482^2 .

It is not a de Polignac number, because 1027824732045 - 2⁴ = 1027824732029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 22840549601 = 1027824732045 / (1 + 0 + 2 + 7 + 8 + 2 + 4 + 7 + 3 + 2 + 0 + 4 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11420274756 + ... + 11420274845.

It is an arithmetic number, because the mean of its divisors is an integer number (148463572413).

Almost surely, 2^{1027824732045} is an apocalyptic number.

1027824732045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1027824732045 is a deficient number, since it is larger than the sum of its proper divisors (753738136911).

1027824732045 is a wasteful number, since it uses less digits than its factorization.

1027824732045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22840549612 (or 22840549609 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 1027824732045 in words is "one trillion, twenty-seven billion, eight hundred twenty-four million, seven hundred thirty-two thousand, forty-five".