11145953280 has 960 divisors, whose sum is σ = 48316907520. Its totient is φ = 2123366400.

The previous prime is 11145953267. The next prime is 11145953323. The reversal of 11145953280 is 8235954111.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359546865 + ... + 359546895.

It is an arithmetic number, because the mean of its divisors is an integer number (50330112).

Almost surely, 2^11145953280 is an apocalyptic number.

11145953280 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 11145953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24158453760).

11145953280 is an abundant number, since it is smaller than the sum of its proper divisors (37170954240).

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

11145953280 is a wasteful number, since it uses less digits than its factorization.

11145953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 11145953280 in words is "eleven billion, one hundred forty-five million, nine hundred fifty-three thousand, two hundred eighty".