1079534816900 has 18 divisors (see below), whose sum is σ = 2342590552890. Its totient is φ = 431813926720.

The previous prime is 1079534816897. The next prime is 1079534816909. The reversal of 1079534816900 is 96184359701.

It can be written as a sum of positive squares in 3 ways, for example, as 20648540416 + 1058886276484 = 143696^2 + 1029022^2 .

It is a super-2 number, since 2×1079534816900² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1079534816909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5397673985 + ... + 5397674184.

It is an arithmetic number, because the mean of its divisors is an integer number (130143919605).

Almost surely, 2^{1079534816900} is an apocalyptic number.

1079534816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1079534816900 is an abundant number, since it is smaller than the sum of its proper divisors (1263055735990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1079534816900 is a wasteful number, since it uses less digits than its factorization.

1079534816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10795348183 (or 10795348176 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 1079534816900 in words is "one trillion, seventy-nine billion, five hundred thirty-four million, eight hundred sixteen thousand, nine hundred".