260184215200 has 432 divisors, whose sum is σ = 808002034560. Its totient is φ = 79666329600.

The previous prime is 260184215191. The next prime is 260184215201. The reversal of 260184215200 is 2512481062.

It is a super-2 number, since 2×260184215200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (260184215201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69958941 + ... + 69962659.

It is an arithmetic number, because the mean of its divisors is an integer number (1870375080).

Almost surely, 2^260184215200 is an apocalyptic number.

260184215200 is a gapful number since it is divisible by the number (20) 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 260184215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404001017280).

260184215200 is an abundant number, since it is smaller than the sum of its proper divisors (547817819360).

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

260184215200 is a wasteful number, since it uses less digits than its factorization.

260184215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 260184215200 its reverse (2512481062), we get a palindrome (262696696262).

The spelling of 260184215200 in words is "two hundred sixty billion, one hundred eighty-four million, two hundred fifteen thousand, two hundred".