13025127332448 has 1152 divisors, whose sum is σ = 48788141875200. Its totient is φ = 3342836044800.

The previous prime is 13025127332447. The next prime is 13025127332467. The reversal of 13025127332448 is 84423372152031.

13025127332448 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 51 + 273 + 324 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025127332447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20131572061 + ... + 20131572707.

It is an arithmetic number, because the mean of its divisors is an integer number (42350817600).

Almost surely, 2^{13025127332448} is an apocalyptic number.

13025127332448 is a gapful number since it is divisible by the number (18) 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 13025127332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394070937600).

13025127332448 is an abundant number, since it is smaller than the sum of its proper divisors (35763014542752).

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

13025127332448 is a wasteful number, since it uses less digits than its factorization.

13025127332448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 13025127332448 its reverse (84423372152031), we get a palindrome (97448499484479).

The spelling of 13025127332448 in words is "thirteen trillion, twenty-five billion, one hundred twenty-seven million, three hundred thirty-two thousand, four hundred forty-eight".