10772560000 has 240 divisors, whose sum is σ = 28717752690. Its totient is φ = 4009984000.

The previous prime is 10772559971. The next prime is 10772560003. The reversal of 10772560000 is 6527701.

It can be written as a sum of positive squares in 15 ways, for example, as 6193060416 + 4579499584 = 78696^2 + 67672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772560003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121039956 + ... + 121040044.

Almost surely, 2^10772560000 is an apocalyptic number.

10772560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10772560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358876345).

10772560000 is an abundant number, since it is smaller than the sum of its proper divisors (17945192690).

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

10772560000 is an frugal number, since it uses more digits than its factorization.

10772560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 10772560000 in words is "ten billion, seven hundred seventy-two million, five hundred sixty thousand".