260133400800 has 1152 divisors, whose sum is σ = 1171725004800. Its totient is φ = 54232104960.

The previous prime is 260133400783. The next prime is 260133400843. The reversal of 260133400800 is 8004331062.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174937657 + ... + 174939143.

It is an arithmetic number, because the mean of its divisors is an integer number (1017122400).

Almost surely, 2^260133400800 is an apocalyptic number.

260133400800 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 260133400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585862502400).

260133400800 is an abundant number, since it is smaller than the sum of its proper divisors (911591604000).

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

260133400800 is a wasteful number, since it uses less digits than its factorization.

260133400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 260133400800 its reverse (8004331062), we get a palindrome (268137731862).

The spelling of 260133400800 in words is "two hundred sixty billion, one hundred thirty-three million, four hundred thousand, eight hundred".