260275744205460 has 480 divisors, whose sum is σ = 839557439892864. Its totient is φ = 67459392000000.

The previous prime is 260275744205459. The next prime is 260275744205461. The reversal of 260275744205460 is 64502447572062.

It is a happy number.

260275744205460 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 7 + 5 + 74 + 4 + 20 + 546 + 0 = 666.

260275744205460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260275744205459) and next prime (260275744205461).

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

It is a junction number, because it is equal to n+sod(n) for n = 260275744205397 and 260275744205406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260275744205461) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67586532535 + ... + 67586536385.

Almost surely, 2^{260275744205460} is an apocalyptic number.

260275744205460 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 260275744205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419778719946432).

260275744205460 is an abundant number, since it is smaller than the sum of its proper divisors (579281695687404).

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

260275744205460 is a wasteful number, since it uses less digits than its factorization.

260275744205460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 260275744205460 in words is "two hundred sixty trillion, two hundred seventy-five billion, seven hundred forty-four million, two hundred five thousand, four hundred sixty".