14972739425280 has 3960 divisors, whose sum is σ = 71390334580488. Its totient is φ = 2973753409536.

The previous prime is 14972739425219. The next prime is 14972739425333. The reversal of 14972739425280 is 8252493727941.

14972739425280 is a `hidden beast` number, since 1 + 4 + 9 + 72 + 7 + 39 + 4 + 2 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5868785664 + 14966870639616 = 76608^2 + 3868704^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 359 ways as a sum of consecutive naturals, for example, 95367766962 + ... + 95367767118.

Almost surely, 2^{14972739425280} is an apocalyptic number.

14972739425280 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 14972739425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35695167290244).

14972739425280 is an abundant number, since it is smaller than the sum of its proper divisors (56417595155208).

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

14972739425280 is a wasteful number, since it uses less digits than its factorization.

14972739425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 14972739425280 in words is "fourteen trillion, nine hundred seventy-two billion, seven hundred thirty-nine million, four hundred twenty-five thousand, two hundred eighty".