1073627545600 has 135 divisors (see below), whose sum is σ = 2664160615837. Its totient is φ = 429185761280.

The previous prime is 1073627545583. The next prime is 1073627545631. The reversal of 1073627545600 is 65457263701.

The square root of 1073627545600 is 1036160.

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

It can be written as a sum of positive squares in only one way, i.e., 386505916416 + 687121629184 = 621696^2 + 828928^2 .

It is a super-2 number, since 2×1073627545600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 663141591 + ... + 663143209.

Almost surely, 2^{1073627545600} is an apocalyptic number.

1073627545600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1073627545600 is the 1036160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073627545600

1073627545600 is an abundant number, since it is smaller than the sum of its proper divisors (1590533070237).

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

1073627545600 is an frugal number, since it uses more digits than its factorization.

1073627545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 1073627545600 in words is "one trillion, seventy-three billion, six hundred twenty-seven million, five hundred forty-five thousand, six hundred".