14528266053120 has 480 divisors, whose sum is σ = 52659543448512. Its totient is φ = 3694718877696.

The previous prime is 14528266053107. The next prime is 14528266053241. The reversal of 14528266053120 is 2135066282541.

14528266053120 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 8 + 2 + 6 + 605 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×14528266053120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178542364 + ... + 178623716.

Almost surely, 2^{14528266053120} is an apocalyptic number.

14528266053120 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 14528266053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26329771724256).

14528266053120 is an abundant number, since it is smaller than the sum of its proper divisors (38131277395392).

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

14528266053120 is a wasteful number, since it uses less digits than its factorization.

14528266053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81742 (or 81723 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 14528266053120 in words is "fourteen trillion, five hundred twenty-eight billion, two hundred sixty-six million, fifty-three thousand, one hundred twenty".