260935955280 has 2560 divisors, whose sum is σ = 1324715212800. Its totient is φ = 45386956800.

The previous prime is 260935955243. The next prime is 260935955281. The reversal of 260935955280 is 82559539062.

260935955280 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 3 + 5 + 9 + 552 + 80 = 666.

It is a super-3 number, since 3×260935955280³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260935955281) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1139458206 + ... + 1139458434.

It is an arithmetic number, because the mean of its divisors is an integer number (517466880).

Almost surely, 2^260935955280 is an apocalyptic number.

260935955280 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 260935955280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662357606400).

260935955280 is an abundant number, since it is smaller than the sum of its proper divisors (1063779257520).

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

260935955280 is a wasteful number, since it uses less digits than its factorization.

260935955280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 260935955280 in words is "two hundred sixty billion, nine hundred thirty-five million, nine hundred fifty-five thousand, two hundred eighty".