11152260250000 has 105 divisors (see below), whose sum is σ = 27013079052381. Its totient is φ = 4460236200000.

The previous prime is 11152260249983. The next prime is 11152260250031. The reversal of 11152260250000 is 5206225111.

The square root of 11152260250000 is 3339500.

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

It can be written as a sum of positive squares in 3 ways, for example, as 9770450595984 + 1381809654016 = 3125772^2 + 1175504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1669746661 + ... + 1669753339.

Almost surely, 2^{11152260250000} is an apocalyptic number.

11152260250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11152260250000 is the 3339500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11152260250000

11152260250000 is an abundant number, since it is smaller than the sum of its proper divisors (15860818802381).

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

11152260250000 is an frugal number, since it uses more digits than its factorization.

11152260250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Multiplying 11152260250000 by its sum of digits (25), we get a square (278806506250000 = 16697500²).

11152260250000 divided by its sum of digits (25) gives a square (446090410000 = 667900²).

Adding to 11152260250000 its reverse (5206225111), we get a palindrome (11157466475111).

The spelling of 11152260250000 in words is "eleven trillion, one hundred fifty-two billion, two hundred sixty million, two hundred fifty thousand".