260833224960 has 1728 divisors, whose sum is σ = 1219080844800. Its totient is φ = 50866421760.

The previous prime is 260833224929. The next prime is 260833225013. The reversal of 260833224960 is 69422338062.

It is a happy number.

260833224960 is a `hidden beast` number, since 2 + 60 + 83 + 3 + 22 + 496 + 0 = 666.

260833224960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738904144 + ... + 738904496.

It is an arithmetic number, because the mean of its divisors is an integer number (705486600).

Almost surely, 2^260833224960 is an apocalyptic number.

260833224960 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 260833224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609540422400).

260833224960 is an abundant number, since it is smaller than the sum of its proper divisors (958247619840).

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

260833224960 is a wasteful number, since it uses less digits than its factorization.

260833224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 260833224960 in words is "two hundred sixty billion, eight hundred thirty-three million, two hundred twenty-four thousand, nine hundred sixty".