13209775488 has 576 divisors, whose sum is σ = 48919852800. Its totient is φ = 3474192384.

The previous prime is 13209775477. The next prime is 13209775499. The reversal of 13209775488 is 88457790231.

It is a happy number.

13209775488 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 97 + 7 + 548 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13209775477) and next prime (13209775499).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36795853 + ... + 36796211.

It is an arithmetic number, because the mean of its divisors is an integer number (84930300).

Almost surely, 2^13209775488 is an apocalyptic number.

13209775488 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 13209775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459926400).

13209775488 is an abundant number, since it is smaller than the sum of its proper divisors (35710077312).

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

13209775488 is an equidigital number, since it uses as much as digits as its factorization.

13209775488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13209775488 in words is "thirteen billion, two hundred nine million, seven hundred seventy-five thousand, four hundred eighty-eight".