11142259200 has 270 divisors, whose sum is σ = 40003697877. Its totient is φ = 2961715200.

The previous prime is 11142259189. The next prime is 11142259211. The reversal of 11142259200 is 295224111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11142259189) and next prime (11142259211).

It can be written as a sum of positive squares in 2 ways, for example, as 10919414016 + 222845184 = 104496^2 + 14928^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=74640.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35827045 + ... + 35827355.

Almost surely, 2^11142259200 is an apocalyptic number.

11142259200 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 11142259200

11142259200 is an abundant number, since it is smaller than the sum of its proper divisors (28861438677).

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

11142259200 is an frugal number, since it uses more digits than its factorization.

11142259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11142259200 in words is "eleven billion, one hundred forty-two million, two hundred fifty-nine thousand, two hundred".