13068959904 has 1152 divisors, whose sum is σ = 54737399808. Its totient is φ = 2956124160.

The previous prime is 13068959903. The next prime is 13068959923. The reversal of 13068959904 is 40995986031.

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

It is not an unprimeable number, because it can be changed into a prime (13068959903) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179026812 + ... + 179026884.

It is an arithmetic number, because the mean of its divisors is an integer number (47515104).

Almost surely, 2^13068959904 is an apocalyptic number.

13068959904 is a gapful number since it is divisible by the number (14) 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 13068959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27368699904).

13068959904 is an abundant number, since it is smaller than the sum of its proper divisors (41668439904).

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

13068959904 is a wasteful number, since it uses less digits than its factorization.

13068959904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13068959904 in words is "thirteen billion, sixty-eight million, nine hundred fifty-nine thousand, nine hundred four".