11257210000 has 75 divisors (see below), whose sum is σ = 27280543213. Its totient is φ = 4498640000.

The previous prime is 11257209989. The next prime is 11257210001. The reversal of 11257210000 is 1275211.

The square root of 11257210000 is 106100.

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 6993642384 + 4263567616 = 83628^2 + 65296^2 .

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 11257210000.

It is not an unprimeable number, because it can be changed into a prime (11257210001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10609470 + ... + 10610530.

Almost surely, 2^11257210000 is an apocalyptic number.

11257210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11257210000 is the 106100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257210000

11257210000 is an abundant number, since it is smaller than the sum of its proper divisors (16023333213).

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

11257210000 is an frugal number, since it uses more digits than its factorization.

11257210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

Adding to 11257210000 its reverse (1275211), we get a palindrome (11258485211).

The spelling of 11257210000 in words is "eleven billion, two hundred fifty-seven million, two hundred ten thousand".