13159094400 has 576 divisors, whose sum is σ = 49344464520. Its totient is φ = 3335454720.

The previous prime is 13159094387. The next prime is 13159094407. The reversal of 13159094400 is 449095131.

It is a happy number.

13159094400 is a `hidden beast` number, since 13 + 159 + 0 + 94 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2324782656 + 10834311744 = 48216^2 + 104088^2 .

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

It is a super-2 number, since 2×13159094400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13159094407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56476684 + ... + 56476916.

Almost surely, 2^13159094400 is an apocalyptic number.

13159094400 is a gapful number since it is divisible by the number (10) 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 13159094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672232260).

13159094400 is an abundant number, since it is smaller than the sum of its proper divisors (36185370120).

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

13159094400 is a wasteful number, since it uses less digits than its factorization.

13159094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13159094400 in words is "thirteen billion, one hundred fifty-nine million, ninety-four thousand, four hundred".