11205315000 has 240 divisors, whose sum is σ = 41371850520. Its totient is φ = 2716320000.

The previous prime is 11205314977. The next prime is 11205315019. The reversal of 11205315000 is 51350211.

11205315000 is a `hidden beast` number, since 112 + 0 + 53 + 1 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 483682 + ... + 506318.

Almost surely, 2^11205315000 is an apocalyptic number.

11205315000 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 11205315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685925260).

11205315000 is an abundant number, since it is smaller than the sum of its proper divisors (30166535520).

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

11205315000 is a wasteful number, since it uses less digits than its factorization.

11205315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22680 (or 22658 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 11205315000 its reverse (51350211), we get a palindrome (11256665211).

The spelling of 11205315000 in words is "eleven billion, two hundred five million, three hundred fifteen thousand".