11505210000 has 200 divisors, whose sum is σ = 37755214464. Its totient is φ = 3017280000.

The previous prime is 11505209999. The next prime is 11505210001. The reversal of 11505210000 is 1250511.

It is an interprime number because it is at equal distance from previous prime (11505209999) and next prime (11505210001).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11505210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1826857 + ... + 1833143.

Almost surely, 2^11505210000 is an apocalyptic number.

11505210000 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 11505210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18877607232).

11505210000 is an abundant number, since it is smaller than the sum of its proper divisors (26250004464).

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

11505210000 is an equidigital number, since it uses as much as digits as its factorization.

11505210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 11505210000 its reverse (1250511), we get a palindrome (11506460511).

The spelling of 11505210000 in words is "eleven billion, five hundred five million, two hundred ten thousand".