13430555221600 has 288 divisors, whose sum is σ = 37156533829632. Its totient is φ = 4697602560000.

The previous prime is 13430555221591. The next prime is 13430555221651. The reversal of 13430555221600 is 612255503431.

It is a self number, because there is not a number n which added to its sum of digits gives 13430555221600.

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, 25354657 + ... + 25878943.

It is an arithmetic number, because the mean of its divisors is an integer number (129015742464).

Almost surely, 2^{13430555221600} is an apocalyptic number.

13430555221600 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 13430555221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578266914816).

13430555221600 is an abundant number, since it is smaller than the sum of its proper divisors (23725978608032).

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

13430555221600 is a wasteful number, since it uses less digits than its factorization.

13430555221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524430 (or 524417 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 13430555221600 in words is "thirteen trillion, four hundred thirty billion, five hundred fifty-five million, two hundred twenty-one thousand, six hundred".