13248491625600 has 3072 divisors, whose sum is σ = 60426761011200. Its totient is φ = 2466938880000.

The previous prime is 13248491625581. The next prime is 13248491625641. The reversal of 13248491625600 is 652619484231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 383 ways as a sum of consecutive naturals, for example, 27658646161 + ... + 27658646639.

It is an arithmetic number, because the mean of its divisors is an integer number (19670169600).

Almost surely, 2^{13248491625600} is an apocalyptic number.

13248491625600 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 13248491625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213380505600).

13248491625600 is an abundant number, since it is smaller than the sum of its proper divisors (47178269385600).

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

13248491625600 is a wasteful number, since it uses less digits than its factorization.

13248491625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 13248491625600 in words is "thirteen trillion, two hundred forty-eight billion, four hundred ninety-one million, six hundred twenty-five thousand, six hundred".