14550207120 has 640 divisors, whose sum is σ = 54853632000. Its totient is φ = 3535902720.

The previous prime is 14550207109. The next prime is 14550207121. The reversal of 14550207120 is 2170205541.

14550207120 is a `hidden beast` number, since 1 + 4 + 550 + 20 + 71 + 20 = 666.

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 (14550207121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114568497 + ... + 114568623.

It is an arithmetic number, because the mean of its divisors is an integer number (85708800).

Almost surely, 2^14550207120 is an apocalyptic number.

14550207120 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 14550207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426816000).

14550207120 is an abundant number, since it is smaller than the sum of its proper divisors (40303424880).

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

14550207120 is a wasteful number, since it uses less digits than its factorization.

14550207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 14550207120 in words is "fourteen billion, five hundred fifty million, two hundred seven thousand, one hundred twenty".