11518560000 has 540 divisors, whose sum is σ = 43788264520. Its totient is φ = 2903040000.

The previous prime is 11518559957. The next prime is 11518560017. The reversal of 11518560000 is 6581511.

11518560000 is a `hidden beast` number, since 1 + 1 + 51 + 8 + 5 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27359790 + ... + 27360210.

Almost surely, 2^11518560000 is an apocalyptic number.

11518560000 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 11518560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21894132260).

11518560000 is an abundant number, since it is smaller than the sum of its proper divisors (32269704520).

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

11518560000 is an equidigital number, since it uses as much as digits as its factorization.

11518560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11518560000 in words is "eleven billion, five hundred eighteen million, five hundred sixty thousand".