260509011840 has 1920 divisors, whose sum is σ = 1240963416000. Its totient is φ = 50801541120.

The previous prime is 260509011839. The next prime is 260509011853. The reversal of 260509011840 is 48110905062.

260509011840 is a `hidden beast` number, since 2 + 60 + 509 + 0 + 11 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 260509011795 and 260509011804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 746443986 + ... + 746444334.

Almost surely, 2^260509011840 is an apocalyptic number.

260509011840 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 260509011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620481708000).

260509011840 is an abundant number, since it is smaller than the sum of its proper divisors (980454404160).

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

260509011840 is a wasteful number, since it uses less digits than its factorization.

260509011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 260509011840 in words is "two hundred sixty billion, five hundred nine million, eleven thousand, eight hundred forty".