13505225744640 has 144 divisors (see below), whose sum is σ = 49294074066048. Its totient is φ = 3086908735488.

The previous prime is 13505225744609. The next prime is 13505225744641. The reversal of 13505225744640 is 4644752250531.

It is a happy number.

It is a super-2 number, since 2×13505225744640² (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 self number, because there is not a number n which added to its sum of digits gives 13505225744640.

It is not an unprimeable number, because it can be changed into a prime (13505225744641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251186397 + ... + 251240156.

It is an arithmetic number, because the mean of its divisors is an integer number (342319958792).

Almost surely, 2^{13505225744640} is an apocalyptic number.

13505225744640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13505225744640 is an abundant number, since it is smaller than the sum of its proper divisors (35788848321408).

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

13505225744640 is an equidigital number, since it uses as much as digits as its factorization.

13505225744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502426584 (or 502426570 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 13505225744640 in words is "thirteen trillion, five hundred five billion, two hundred twenty-five million, seven hundred forty-four thousand, six hundred forty".