11513415210 has 192 divisors, whose sum is σ = 31872548736. Its totient is φ = 2639296000.

The previous prime is 11513415203. The next prime is 11513415211. The reversal of 11513415210 is 1251431511.

It is not an unprimeable number, because it can be changed into a prime (11513415211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17631244 + ... + 17631896.

It is an arithmetic number, because the mean of its divisors is an integer number (166002858).

Almost surely, 2^11513415210 is an apocalyptic number.

11513415210 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 11513415210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936274368).

11513415210 is an abundant number, since it is smaller than the sum of its proper divisors (20359133526).

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

11513415210 is a wasteful number, since it uses less digits than its factorization.

11513415210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11513415210 its reverse (1251431511), we get a palindrome (12764846721).

The spelling of 11513415210 in words is "eleven billion, five hundred thirteen million, four hundred fifteen thousand, two hundred ten".