11513504000 has 144 divisors (see below), whose sum is σ = 28794694656. Its totient is φ = 4587264000.

The previous prime is 11513503979. The next prime is 11513504017. The reversal of 11513504000 is 40531511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10591457 + ... + 10592543.

Almost surely, 2^11513504000 is an apocalyptic number.

11513504000 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 11513504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397347328).

11513504000 is an abundant number, since it is smaller than the sum of its proper divisors (17281190656).

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

11513504000 is an equidigital number, since it uses as much as digits as its factorization.

11513504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 11513504000 in words is "eleven billion, five hundred thirteen million, five hundred four thousand".