11144625560000 has 280 divisors, whose sum is σ = 29124223265280. Its totient is φ = 4218189696000.

The previous prime is 11144625559997. The next prime is 11144625560023. The reversal of 11144625560000 is 6552644111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671071697 + ... + 671088303.

Almost surely, 2^{11144625560000} is an apocalyptic number.

11144625560000 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 11144625560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562111632640).

11144625560000 is an abundant number, since it is smaller than the sum of its proper divisors (17979597705280).

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

11144625560000 is an equidigital number, since it uses as much as digits as its factorization.

11144625560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17541 (or 17516 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 11144625560000 in words is "eleven trillion, one hundred forty-four billion, six hundred twenty-five million, five hundred sixty thousand".