11005210000 has 200 divisors, whose sum is σ = 27864924120. Its totient is φ = 4204032000.

The previous prime is 11005209989. The next prime is 11005210043. The reversal of 11005210000 is 1250011.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 11003170816 + 2039184 = 104896^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11005210000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 39729862 + ... + 39730138.

Almost surely, 2^11005210000 is an apocalyptic number.

11005210000 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 11005210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932462060).

11005210000 is an abundant number, since it is smaller than the sum of its proper divisors (16859714120).

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

11005210000 is a wasteful number, since it uses less digits than its factorization.

11005210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 11005210000 its reverse (1250011), we get a palindrome (11006460011).

The spelling of 11005210000 in words is "eleven billion, five million, two hundred ten thousand".