260424915839200 has 288 divisors, whose sum is σ = 741984688065600. Its totient is φ = 89219789568000.

The previous prime is 260424915839173. The next prime is 260424915839303. The reversal of 260424915839200 is 2938519424062.

It is a super-2 number, since 2×260424915839200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356629654 + ... + 357359146.

It is an arithmetic number, because the mean of its divisors is an integer number (2576335722450).

Almost surely, 2^{260424915839200} is an apocalyptic number.

260424915839200 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 260424915839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370992344032800).

260424915839200 is an abundant number, since it is smaller than the sum of its proper divisors (481559772226400).

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

260424915839200 is a wasteful number, since it uses less digits than its factorization.

260424915839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730835 (or 730808 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 260424915839200 in words is "two hundred sixty trillion, four hundred twenty-four billion, nine hundred fifteen million, eight hundred thirty-nine thousand, two hundred".