5815230451200 has 960 divisors, whose sum is σ = 21628489259520. Its totient is φ = 1530271825920.

The previous prime is 5815230451187. The next prime is 5815230451207. The reversal of 5815230451200 is 21540325185.

5815230451200 is a `hidden beast` number, since 5 + 8 + 1 + 523 + 0 + 4 + 5 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5815230451207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12452313367 + ... + 12452313833.

It is an arithmetic number, because the mean of its divisors is an integer number (22529676312).

Almost surely, 2^{5815230451200} is an apocalyptic number.

5815230451200 is a gapful number since it is divisible by the number (50) 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 5815230451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814244629760).

5815230451200 is an abundant number, since it is smaller than the sum of its proper divisors (15813258808320).

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

5815230451200 is a wasteful number, since it uses less digits than its factorization.

5815230451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 5815230451200 its reverse (21540325185), we get a palindrome (5836770776385).

The spelling of 5815230451200 in words is "five trillion, eight hundred fifteen billion, two hundred thirty million, four hundred fifty-one thousand, two hundred".