13206785904 has 240 divisors, whose sum is σ = 40513261152. Its totient is φ = 3991928832.

The previous prime is 13206785897. The next prime is 13206785923. The reversal of 13206785904 is 40958760231.

It is a self number, because there is not a number n which added to its sum of digits gives 13206785904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46666947 + ... + 46667229.

It is a 1-persistent number, because it is pandigital, but 2⋅13206785904 = 26413571808 is not.

Almost surely, 2^13206785904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13206785904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20256630576).

13206785904 is an abundant number, since it is smaller than the sum of its proper divisors (27306475248).

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

13206785904 is a wasteful number, since it uses less digits than its factorization.

13206785904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13206785904 in words is "thirteen billion, two hundred six million, seven hundred eighty-five thousand, nine hundred four".