13300293089280 has 384 divisors, whose sum is σ = 43480172736000. Its totient is φ = 3470023065600.

The previous prime is 13300293089201. The next prime is 13300293089323. The reversal of 13300293089280 is 8298039200331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285703446 + ... + 285749994.

It is an arithmetic number, because the mean of its divisors is an integer number (113229616500).

Almost surely, 2^{13300293089280} is an apocalyptic number.

13300293089280 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 13300293089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740086368000).

13300293089280 is an abundant number, since it is smaller than the sum of its proper divisors (30179879646720).

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

13300293089280 is a wasteful number, since it uses less digits than its factorization.

13300293089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46781 (or 46761 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13300293089280 in words is "thirteen trillion, three hundred billion, two hundred ninety-three million, eighty-nine thousand, two hundred eighty".