11704824000 has 504 divisors, whose sum is σ = 43673255808. Its totient is φ = 3107289600.

The previous prime is 11704823981. The next prime is 11704824007. The reversal of 11704824000 is 42840711.

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

It is not an unprimeable number, because it can be changed into a prime (11704824007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52487889 + ... + 52488111.

Almost surely, 2^11704824000 is an apocalyptic number.

11704824000 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 11704824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21836627904).

11704824000 is an abundant number, since it is smaller than the sum of its proper divisors (31968431808).

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

11704824000 is an frugal number, since it uses more digits than its factorization.

11704824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11704824000 in words is "eleven billion, seven hundred four million, eight hundred twenty-four thousand".