11627924000 has 384 divisors, whose sum is σ = 37513082880. Its totient is φ = 3431808000.

The previous prime is 11627923997. The next prime is 11627924003. The reversal of 11627924000 is 42972611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11627923997) and next prime (11627924003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11627924003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5851007 + ... + 5852993.

It is an arithmetic number, because the mean of its divisors is an integer number (97690320).

Almost surely, 2^11627924000 is an apocalyptic number.

11627924000 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 11627924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18756541440).

11627924000 is an abundant number, since it is smaller than the sum of its proper divisors (25885158880).

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

11627924000 is a wasteful number, since it uses less digits than its factorization.

11627924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 11627924000 in words is "eleven billion, six hundred twenty-seven million, nine hundred twenty-four thousand".