11145530000 has 100 divisors (see below), whose sum is σ = 29437864368. Its totient is φ = 4052880000.

The previous prime is 11145529999. The next prime is 11145530041. The reversal of 11145530000 is 3554111.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59339 + ... + 160661.

Almost surely, 2^11145530000 is an apocalyptic number.

11145530000 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 11145530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718932184).

11145530000 is an abundant number, since it is smaller than the sum of its proper divisors (18292334368).

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

11145530000 is a wasteful number, since it uses less digits than its factorization.

11145530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101362 (or 101341 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

It can be divided in two parts, 11145 and 530000, that added together give a palindrome (541145).

The spelling of 11145530000 in words is "eleven billion, one hundred forty-five million, five hundred thirty thousand".