13525968666528 has 1008 divisors, whose sum is σ = 43883856124416. Its totient is φ = 4096952939520.

The previous prime is 13525968666499. The next prime is 13525968666571. The reversal of 13525968666528 is 82566686952531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 51429538525 + ... + 51429538787.

It is an arithmetic number, because the mean of its divisors is an integer number (43535571552).

Almost surely, 2^{13525968666528} is an apocalyptic number.

13525968666528 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 13525968666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21941928062208).

13525968666528 is an abundant number, since it is smaller than the sum of its proper divisors (30357887457888).

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

13525968666528 is a wasteful number, since it uses less digits than its factorization.

13525968666528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 515 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 13525968666528 in words is "thirteen trillion, five hundred twenty-five billion, nine hundred sixty-eight million, six hundred sixty-six thousand, five hundred twenty-eight".