11164720250000 has 420 divisors, whose sum is σ = 29431689285180. Its totient is φ = 4099584000000.

The previous prime is 11164720249939. The next prime is 11164720250053. The reversal of 11164720250000 is 5202746111.

It can be written as a sum of positive squares in 42 ways, for example, as 3074495723776 + 8090224526224 = 1753424^2 + 2844332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2962248116 + ... + 2962251884.

It is an arithmetic number, because the mean of its divisors is an integer number (70075450679).

Almost surely, 2^{11164720250000} is an apocalyptic number.

11164720250000 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 11164720250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715844642590).

11164720250000 is an abundant number, since it is smaller than the sum of its proper divisors (18266969035180).

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

11164720250000 is an frugal number, since it uses more digits than its factorization.

11164720250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 11164720250000 its reverse (5202746111), we get a palindrome (11169922996111).

The spelling of 11164720250000 in words is "eleven trillion, one hundred sixty-four billion, seven hundred twenty million, two hundred fifty thousand".