13209425612544 has 1152 divisors, whose sum is σ = 45690365952000. Its totient is φ = 3297481850880.

The previous prime is 13209425612533. The next prime is 13209425612557. The reversal of 13209425612544 is 44521652490231.

It is a super-2 number, since 2×13209425612544² (a number of 27 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13209425612493 and 13209425612502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37849356882 + ... + 37849357230.

It is an arithmetic number, because the mean of its divisors is an integer number (39661776000).

Almost surely, 2^{13209425612544} is an apocalyptic number.

13209425612544 is a gapful number since it is divisible by the number (14) 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 13209425612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22845182976000).

13209425612544 is an abundant number, since it is smaller than the sum of its proper divisors (32480940339456).

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

13209425612544 is a wasteful number, since it uses less digits than its factorization.

13209425612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 13209425612544 in words is "thirteen trillion, two hundred nine billion, four hundred twenty-five million, six hundred twelve thousand, five hundred forty-four".