11486016000 has 960 divisors, whose sum is σ = 47033775360. Its totient is φ = 2757427200.

The previous prime is 11486015987. The next prime is 11486016029. The reversal of 11486016000 is 61068411.

11486016000 is a `hidden beast` number, since 11 + 48 + 6 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499391989 + ... + 499392011.

It is an arithmetic number, because the mean of its divisors is an integer number (48993516).

Almost surely, 2^11486016000 is an apocalyptic number.

11486016000 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 11486016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516887680).

11486016000 is an abundant number, since it is smaller than the sum of its proper divisors (35547759360).

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

11486016000 is an equidigital number, since it uses as much as digits as its factorization.

11486016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11486016000 in words is "eleven billion, four hundred eighty-six million, sixteen thousand".