260076824017920 has 5280 divisors, whose sum is σ = 1234196414330880. Its totient is φ = 50144465387520.

The previous prime is 260076824017919. The next prime is 260076824017979. The reversal of 260076824017920 is 29710428670062.

260076824017920 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 76 + 82 + 401 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×260076824017920² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 847155778407 + ... + 847155778713.

It is an arithmetic number, because the mean of its divisors is an integer number (233749320896).

Almost surely, 2^{260076824017920} is an apocalyptic number.

260076824017920 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 260076824017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617098207165440).

260076824017920 is an abundant number, since it is smaller than the sum of its proper divisors (974119590312960).

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

260076824017920 is a wasteful number, since it uses less digits than its factorization.

260076824017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 260076824017920 in words is "two hundred sixty trillion, seventy-six billion, eight hundred twenty-four million, seventeen thousand, nine hundred twenty".