13118784000 has 640 divisors, whose sum is σ = 51231578112. Its totient is φ = 2915942400.

The previous prime is 13118783983. The next prime is 13118784001. The reversal of 13118784000 is 48781131.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (13118784001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57791887 + ... + 57792113.

Almost surely, 2^13118784000 is an apocalyptic number.

13118784000 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 13118784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615789056).

13118784000 is an abundant number, since it is smaller than the sum of its proper divisors (38112794112).

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

13118784000 is an equidigital number, since it uses as much as digits as its factorization.

13118784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 13118784000 in words is "thirteen billion, one hundred eighteen million, seven hundred eighty-four thousand".