14827120000 has 640 divisors, whose sum is σ = 48179577600. Its totient is φ = 4408320000.

The previous prime is 14827119929. The next prime is 14827120073. The reversal of 14827120000 is 2172841.

It is a happy number.

14827120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178639959 + ... + 178640041.

It is an arithmetic number, because the mean of its divisors is an integer number (75280590).

Almost surely, 2^14827120000 is an apocalyptic number.

14827120000 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 14827120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24089788800).

14827120000 is an abundant number, since it is smaller than the sum of its proper divisors (33352457600).

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

14827120000 is an equidigital number, since it uses as much as digits as its factorization.

14827120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 14827120000 its reverse (2172841), we get a palindrome (14829292841).

The spelling of 14827120000 in words is "fourteen billion, eight hundred twenty-seven million, one hundred twenty thousand".