14265720268800 has 4608 divisors, whose sum is σ = 67874375761920. Its totient is φ = 2548039680000.

The previous prime is 14265720268799. The next prime is 14265720268829. The reversal of 14265720268800 is 886202756241.

It is a super-2 number, since 2×14265720268800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 195420825564 + ... + 195420825636.

It is an arithmetic number, because the mean of its divisors is an integer number (14729682240).

Almost surely, 2^{14265720268800} is an apocalyptic number.

14265720268800 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 14265720268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33937187880960).

14265720268800 is an abundant number, since it is smaller than the sum of its proper divisors (53608655493120).

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

14265720268800 is a wasteful number, since it uses less digits than its factorization.

14265720268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 14265720268800 in words is "fourteen trillion, two hundred sixty-five billion, seven hundred twenty million, two hundred sixty-eight thousand, eight hundred".