260552920320 has 2592 divisors, whose sum is σ = 1253946710016. Its totient is φ = 50582568960.

The previous prime is 260552920279. The next prime is 260552920321. The reversal of 260552920320 is 23029255062.

It is a happy number.

260552920320 is a `hidden beast` number, since 2 + 60 + 552 + 9 + 20 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260552920321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6059370219 + ... + 6059370261.

Almost surely, 2^260552920320 is an apocalyptic number.

260552920320 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 260552920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626973355008).

260552920320 is an abundant number, since it is smaller than the sum of its proper divisors (993393789696).

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

260552920320 is a wasteful number, since it uses less digits than its factorization.

260552920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 2605 and 52920320, that added together give a palindrome (52922925).

The spelling of 260552920320 in words is "two hundred sixty billion, five hundred fifty-two million, nine hundred twenty thousand, three hundred twenty".