13202808772608 has 1440 divisors, whose sum is σ = 49835301516000. Its totient is φ = 3479523360768.

The previous prime is 13202808772607. The next prime is 13202808772613. The reversal of 13202808772608 is 80627780820231.

13202808772608 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 28 + 0 + 8 + 7 + 7 + 2 + 608 = 666.

It is a super-2 number, since 2×13202808772608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202808772607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9616029010 + ... + 9616030382.

It is an arithmetic number, because the mean of its divisors is an integer number (34607848275).

Almost surely, 2^{13202808772608} is an apocalyptic number.

13202808772608 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 13202808772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917650758000).

13202808772608 is an abundant number, since it is smaller than the sum of its proper divisors (36632492743392).

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

13202808772608 is an equidigital number, since it uses as much as digits as its factorization.

13202808772608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13202808772608 in words is "thirteen trillion, two hundred two billion, eight hundred eight million, seven hundred seventy-two thousand, six hundred eight".