11250005760 has 432 divisors, whose sum is σ = 46140896256. Its totient is φ = 2570932224.

The previous prime is 11250005747. The next prime is 11250005831. The reversal of 11250005760 is 6750005211.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174697 + ... + 2179863.

Almost surely, 2^11250005760 is an apocalyptic number.

11250005760 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 11250005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23070448128).

11250005760 is an abundant number, since it is smaller than the sum of its proper divisors (34890890496).

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

11250005760 is an frugal number, since it uses more digits than its factorization.

11250005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 11250005760 in words is "eleven billion, two hundred fifty million, five thousand, seven hundred sixty".