11205315510 has 64 divisors (see below), whose sum is σ = 27840369600. Its totient is φ = 2882944512.

The previous prime is 11205315509. The next prime is 11205315551. The reversal of 11205315510 is 1551350211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448172 + ... + 1455888.

It is an arithmetic number, because the mean of its divisors is an integer number (435005775).

Almost surely, 2^11205315510 is an apocalyptic number.

11205315510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205315510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920184800).

11205315510 is an abundant number, since it is smaller than the sum of its proper divisors (16635054090).

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

11205315510 is a wasteful number, since it uses less digits than its factorization.

11205315510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 11205315510 its reverse (1551350211), we get a palindrome (12756665721).

The spelling of 11205315510 in words is "eleven billion, two hundred five million, three hundred fifteen thousand, five hundred ten".