14054705280 has 960 divisors, whose sum is σ = 63820975680. Its totient is φ = 2914652160.

The previous prime is 14054705221. The next prime is 14054705281. The reversal of 14054705280 is 8250745041.

14054705280 is a `hidden beast` number, since 14 + 0 + 54 + 70 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14054705281) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941509 + ... + 27942011.

It is an arithmetic number, because the mean of its divisors is an integer number (66480183).

Almost surely, 2^14054705280 is an apocalyptic number.

14054705280 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 14054705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31910487840).

14054705280 is an abundant number, since it is smaller than the sum of its proper divisors (49766270400).

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

14054705280 is a wasteful number, since it uses less digits than its factorization.

14054705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 14054705280 in words is "fourteen billion, fifty-four million, seven hundred five thousand, two hundred eighty".