13078406304 has 72 divisors (see below), whose sum is σ = 37313115840. Its totient is φ = 4345239168.

The previous prime is 13078406291. The next prime is 13078406309. The reversal of 13078406304 is 40360487031.

13078406304 is a `hidden beast` number, since 1 + 307 + 8 + 40 + 6 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13078406304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13078406309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14457 + ... + 162375.

It is an arithmetic number, because the mean of its divisors is an integer number (518237720).

Almost surely, 2^13078406304 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 13078406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656557920).

13078406304 is an abundant number, since it is smaller than the sum of its proper divisors (24234709536).

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

13078406304 is a wasteful number, since it uses less digits than its factorization.

13078406304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148242 (or 148231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13078406304 in words is "thirteen billion, seventy-eight million, four hundred six thousand, three hundred four".