13206266252800 has 480 divisors, whose sum is σ = 34327636890624. Its totient is φ = 5029011456000.

The previous prime is 13206266252789. The next prime is 13206266252807. The reversal of 13206266252800 is 825266260231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206266252807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9254565687 + ... + 9254567113.

Almost surely, 2^{13206266252800} is an apocalyptic number.

13206266252800 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 13206266252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163818445312).

13206266252800 is an abundant number, since it is smaller than the sum of its proper divisors (21121370637824).

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

13206266252800 is a wasteful number, since it uses less digits than its factorization.

13206266252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 13206266252800 in words is "thirteen trillion, two hundred six billion, two hundred sixty-six million, two hundred fifty-two thousand, eight hundred".