13105558425600 has 819 divisors, whose sum is σ = 48841001750593. Its totient is φ = 3486474731520.

The previous prime is 13105558425529. The next prime is 13105558425623. The reversal of 13105558425600 is 652485550131.

The square root of 13105558425600 is 3620160.

It is a perfect power (a square), and thus also a powerful number.

13105558425600 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 5 + 5 + 84 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4718001033216 + 8387557392384 = 2172096^2 + 2896128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian 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 62 ways as a sum of consecutive naturals, for example, 31278182191 + ... + 31278182609.

Almost surely, 2^{13105558425600} is an apocalyptic number.

13105558425600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105558425600 is the 3620160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105558425600

13105558425600 is an abundant number, since it is smaller than the sum of its proper divisors (35735443324993).

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

13105558425600 is an frugal number, since it uses more digits than its factorization.

13105558425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 13105558425600 in words is "thirteen trillion, one hundred five billion, five hundred fifty-eight million, four hundred twenty-five thousand, six hundred".