14053080518400 has 3888 divisors, whose sum is σ = 65575243415808. Its totient is φ = 2611445760000.

The previous prime is 14053080518363. The next prime is 14053080518437. The reversal of 14053080518400 is 481508035041.

It is an interprime number because it is at equal distance from previous prime (14053080518363) and next prime (14053080518437).

It is a super-2 number, since 2×14053080518400² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 93066758325 + ... + 93066758475.

Almost surely, 2^{14053080518400} is an apocalyptic number.

14053080518400 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 14053080518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32787621707904).

14053080518400 is an abundant number, since it is smaller than the sum of its proper divisors (51522162897408).

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

14053080518400 is a wasteful number, since it uses less digits than its factorization.

14053080518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 14053080518400 in words is "fourteen trillion, fifty-three billion, eighty million, five hundred eighteen thousand, four hundred".