13252315430400 has 240 divisors, whose sum is σ = 43843330577904. Its totient is φ = 3528692858880.

The previous prime is 13252315430363. The next prime is 13252315430413. The reversal of 13252315430400 is 403451325231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25586802 + ... + 26099598.

Almost surely, 2^{13252315430400} is an apocalyptic number.

13252315430400 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 13252315430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921665288952).

13252315430400 is an abundant number, since it is smaller than the sum of its proper divisors (30591015147504).

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

13252315430400 is an equidigital number, since it uses as much as digits as its factorization.

13252315430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513501 (or 513480 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 13252315430400 its reverse (403451325231), we get a palindrome (13655766755631).

The spelling of 13252315430400 in words is "thirteen trillion, two hundred fifty-two billion, three hundred fifteen million, four hundred thirty thousand, four hundred".