1074000595600 has 45 divisors (see below), whose sum is σ = 2580336228027. Its totient is φ = 429591947520.

The previous prime is 1074000595589. The next prime is 1074000595627. The reversal of 1074000595600 is 65950004701.

The square root of 1074000595600 is 1036340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 79720393104 + 994280202496 = 282348^2 + 997136^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1074000595600.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 20700892 + ... + 20752708.

Almost surely, 2^{1074000595600} is an apocalyptic number.

1074000595600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1074000595600 is the 1036340-th square number.

It is an amenable number.

1074000595600 is an abundant number, since it is smaller than the sum of its proper divisors (1506335632427).

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

1074000595600 is an frugal number, since it uses more digits than its factorization.

1074000595600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103652 (or 51824 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 1074000595600 in words is "one trillion, seventy-four billion, five hundred ninety-five thousand, six hundred".