13090944000 has 352 divisors, whose sum is σ = 44236423296. Its totient is φ = 3435724800.

The previous prime is 13090943963. The next prime is 13090944001. The reversal of 13090944000 is 44909031.

It is a super-2 number, since 2×13090944000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13090944001) 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 31 ways as a sum of consecutive naturals, for example, 28031767 + ... + 28032233.

Almost surely, 2^13090944000 is an apocalyptic number.

13090944000 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 13090944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118211648).

13090944000 is an abundant number, since it is smaller than the sum of its proper divisors (31145479296).

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

13090944000 is an equidigital number, since it uses as much as digits as its factorization.

13090944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 13090944000 in words is "thirteen billion, ninety million, nine hundred forty-four thousand".