13252215203040 has 192 divisors, whose sum is σ = 45639087379200. Its totient is φ = 3205627760640.

The previous prime is 13252215203027. The next prime is 13252215203047. The reversal of 13252215203040 is 4030251225231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13252215202989 and 13252215203007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13252215203047) 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 31 ways as a sum of consecutive naturals, for example, 333090 + ... + 5159009.

It is an arithmetic number, because the mean of its divisors is an integer number (237703580100).

Almost surely, 2^{13252215203040} is an apocalyptic number.

13252215203040 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 13252215203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819543689600).

13252215203040 is an abundant number, since it is smaller than the sum of its proper divisors (32386872176160).

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

13252215203040 is a wasteful number, since it uses less digits than its factorization.

13252215203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492585 (or 5492577 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13252215203040 its reverse (4030251225231), we get a palindrome (17282466428271).

The spelling of 13252215203040 in words is "thirteen trillion, two hundred fifty-two billion, two hundred fifteen million, two hundred three thousand, forty".