11924280000 has 560 divisors, whose sum is σ = 44769044320. Its totient is φ = 3110400000.

The previous prime is 11924279981. The next prime is 11924280007. The reversal of 11924280000 is 8242911.

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 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 (11924280007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65879910 + ... + 65880090.

It is an arithmetic number, because the mean of its divisors is an integer number (79944722).

Almost surely, 2^11924280000 is an apocalyptic number.

11924280000 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 11924280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22384522160).

11924280000 is an abundant number, since it is smaller than the sum of its proper divisors (32844764320).

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

11924280000 is an equidigital number, since it uses as much as digits as its factorization.

11924280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

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

The spelling of 11924280000 in words is "eleven billion, nine hundred twenty-four million, two hundred eighty thousand".