260985565440 has 216 divisors, whose sum is σ = 918290056320. Its totient is φ = 68416376832.

The previous prime is 260985565427. The next prime is 260985565441. The reversal of 260985565440 is 44565589062.

260985565440 is a `hidden beast` number, since 2 + 6 + 0 + 98 + 5 + 5 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×260985565440² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (260985565441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487689 + ... + 871671.

Almost surely, 2^260985565440 is an apocalyptic number.

260985565440 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 260985565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459145028160).

260985565440 is an abundant number, since it is smaller than the sum of its proper divisors (657304490880).

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

260985565440 is a wasteful number, since it uses less digits than its factorization.

260985565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384069 (or 384052 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 260985565440 in words is "two hundred sixty billion, nine hundred eighty-five million, five hundred sixty-five thousand, four hundred forty".