1152565427776 has 189 divisors, whose sum is σ = 2810713104369. Its totient is φ = 467495110656.

The previous prime is 1152565427771. The next prime is 1152565427821. The reversal of 1152565427776 is 6777245652511.

It is a happy number.

The square root of 1152565427776 is 1073576.

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., 353758490176 + 798806937600 = 594776^2 + 893760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1152565427776.

It is not an unprimeable number, because it can be changed into a prime (1152565427771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1142284360 + ... + 1142285368.

Almost surely, 2^{1152565427776} is an apocalyptic number.

1152565427776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1152565427776 is the 1073576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152565427776

1152565427776 is an abundant number, since it is smaller than the sum of its proper divisors (1658147676593).

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

1152565427776 is an frugal number, since it uses more digits than its factorization.

1152565427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 1037 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 58.

The spelling of 1152565427776 in words is "one trillion, one hundred fifty-two billion, five hundred sixty-five million, four hundred twenty-seven thousand, seven hundred seventy-six".