13252421145600 has 3960 divisors, whose sum is σ = 62743357501440. Its totient is φ = 2738983403520.

The previous prime is 13252421145571. The next prime is 13252421145637. The reversal of 13252421145600 is 654112425231.

13252421145600 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 4 + 2 + 1 + 1 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 104349772737 + ... + 104349772863.

Almost surely, 2^{13252421145600} is an apocalyptic number.

13252421145600 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 13252421145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31371678750720).

13252421145600 is an abundant number, since it is smaller than the sum of its proper divisors (49490936355840).

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

13252421145600 is a wasteful number, since it uses less digits than its factorization.

13252421145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13252421145600 in words is "thirteen trillion, two hundred fifty-two billion, four hundred twenty-one million, one hundred forty-five thousand, six hundred".