13049580000 has 240 divisors, whose sum is σ = 45062075520. Its totient is φ = 3296448000.

The previous prime is 13049579957. The next prime is 13049580007. The reversal of 13049580000 is 8594031.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13049580000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13049580007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1134277 + ... + 1145723.

It is an arithmetic number, because the mean of its divisors is an integer number (187758648).

Almost surely, 2^13049580000 is an apocalyptic number.

13049580000 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 13049580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22531037760).

13049580000 is an abundant number, since it is smaller than the sum of its proper divisors (32012495520).

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

13049580000 is a wasteful number, since it uses less digits than its factorization.

13049580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 13049580000 in words is "thirteen billion, forty-nine million, five hundred eighty thousand".