13593222107136 has 1248 divisors, whose sum is σ = 48936520089600. Its totient is φ = 3625186295808.

The previous prime is 13593222107119. The next prime is 13593222107137. The reversal of 13593222107136 is 63170122239531.

13593222107136 is a `hidden beast` number, since 1 + 3 + 593 + 2 + 2 + 21 + 0 + 7 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13593222107091 and 13593222107100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13593222107137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12505263585 + ... + 12505264671.

It is an arithmetic number, because the mean of its divisors is an integer number (39211955200).

Almost surely, 2^{13593222107136} is an apocalyptic number.

13593222107136 is a gapful number since it is divisible by the number (16) 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 13593222107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24468260044800).

13593222107136 is an abundant number, since it is smaller than the sum of its proper divisors (35343297982464).

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

13593222107136 is a wasteful number, since it uses less digits than its factorization.

13593222107136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13593222107136 in words is "thirteen trillion, five hundred ninety-three billion, two hundred twenty-two million, one hundred seven thousand, one hundred thirty-six".