1255072090000 has 225 divisors, whose sum is σ = 3232819461157. Its totient is φ = 471780736000.

The previous prime is 1255072089937. The next prime is 1255072090009. The reversal of 1255072090000 is 902705521.

The square root of 1255072090000 is 1120300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 612919883664 + 642152206336 = 782892^2 + 801344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1255072090009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1904509671 + ... + 1904510329.

Almost surely, 2^{1255072090000} is an apocalyptic number.

1255072090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1255072090000 is the 1120300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255072090000

1255072090000 is an abundant number, since it is smaller than the sum of its proper divisors (1977747371157).

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

1255072090000 is an frugal number, since it uses more digits than its factorization.

1255072090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 1255072090000 its reverse (902705521), we get a palindrome (1255974795521).

The spelling of 1255072090000 in words is "one trillion, two hundred fifty-five billion, seventy-two million, ninety thousand".