13148353295280 has 720 divisors, whose sum is σ = 53174514541824. Its totient is φ = 2900067287040.

The previous prime is 13148353295269. The next prime is 13148353295293. The reversal of 13148353295280 is 8259235384131.

13148353295280 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 35 + 329 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386052012 + ... + 386086068.

Almost surely, 2^{13148353295280} is an apocalyptic number.

13148353295280 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 13148353295280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26587257270912).

13148353295280 is an abundant number, since it is smaller than the sum of its proper divisors (40026161246544).

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

13148353295280 is a wasteful number, since it uses less digits than its factorization.

13148353295280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34474 (or 34458 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13148353295280 in words is "thirteen trillion, one hundred forty-eight billion, three hundred fifty-three million, two hundred ninety-five thousand, two hundred eighty".