13150360800 has 288 divisors, whose sum is σ = 47686635360. Its totient is φ = 3497472000.

The previous prime is 13150360759. The next prime is 13150360801. The reversal of 13150360800 is 806305131.

13150360800 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 3 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13150360801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12981094 + ... + 12982106.

It is an arithmetic number, because the mean of its divisors is an integer number (165578595).

Almost surely, 2^13150360800 is an apocalyptic number.

13150360800 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 13150360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843317680).

13150360800 is an abundant number, since it is smaller than the sum of its proper divisors (34536274560).

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

13150360800 is a wasteful number, since it uses less digits than its factorization.

13150360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13150360800 its reverse (806305131), we get a palindrome (13956665931).

The spelling of 13150360800 in words is "thirteen billion, one hundred fifty million, three hundred sixty thousand, eight hundred".