11578608000 has 192 divisors, whose sum is σ = 41582193120. Its totient is φ = 3087590400.

The previous prime is 11578607981. The next prime is 11578608001. The reversal of 11578608000 is 80687511.

11578608000 is a `hidden beast` number, since 1 + 1 + 578 + 6 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578608001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103797 + ... + 184203.

Almost surely, 2^11578608000 is an apocalyptic number.

11578608000 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 11578608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791096560).

11578608000 is an abundant number, since it is smaller than the sum of its proper divisors (30003585120).

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

11578608000 is an equidigital number, since it uses as much as digits as its factorization.

11578608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80442 (or 80417 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11578608000 in words is "eleven billion, five hundred seventy-eight million, six hundred eight thousand".